Q&A - PSLE Math
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need some guide to solve the following questions.
1. A box contained red, blue and yellow clips.
1/2 of the red clips , 3/4 of the blue clips and 2/3 of the yellow clips were removed.
as a result, 1/5 of the remaining clips were red and there was an equal number of blue and yellow clips.
There were 48 yellow and red clips at first. How many more blue clips than red clips were there at first?
2.the number of marbles in Box A was twice the number of marbles in Box B.
30% of the marbles in Box A and 20% of the marbles in Box B were moved to Box C. As a result, the number of marbles in Box C was increased by 40%. How many marbles were in Box B at first if there are 28 marbles in Box C now? -
Allysmum:
HiHi, need help with this question, tks in advance.
John had 72 more mangoes than oranges. After selling 3/4 of the mangoes and 3/5 of the oranges, he was left with 15 more oranges than mangoes. The mangoes were sold at 2.75 each and the oranges at 0.55 each. How much did he receive altogether?
Good Morning.
You may use MD or work with units.
At first
Mangoes ------ 20 units + 72
Oranges ------ 20 units
Sold
Mangoes ------ 15 units + 54
Oranges ------ 12 units
Left
Mangoes ------ 5 units + 18
Oranges ------ 8 units
He was left with 15 more oranges than mangoes.
8 units ------ 5 units + 18 + 15
3 units ------ 33
1 unit ------ 11
Number of mangoes sold ------ 15 units + 54 ------- 15*11 + 54 ------- 219
Number of oranges sold------ 12 units ------- 12*11 ------ 132
(219*0.75) + (132*0.55) ------- 602.25 +72.6 ------674.85
Best wishes -
ozora:
Hineed some guide to solve the following questions.
1. A box contained red, blue and yellow clips.
1/2 of the red clips , 3/4 of the blue clips and 2/3 of the yellow clips were removed.
as a result, 1/5 of the remaining clips were red and there was an equal number of blue and yellow clips.
There were 48 yellow and red clips at first. How many more blue clips than red clips were there at first?
2.the number of marbles in Box A was twice the number of marbles in Box B.
30% of the marbles in Box A and 20% of the marbles in Box B were moved to Box C. As a result, the number of marbles in Box C was increased by 40%. How many marbles were in Box B at first if there are 28 marbles in Box C now?
Q1. in the end,
red : yellow + brlue --> 1u : 4u,
sijce there are equal number of yellow and blue chips,
red:yellow:blue --> 1u:2u:2u
at first,
red:yellow:blue --> 2u:6u:8u
Can you continue from here?
cheers. -
Tks tianzhu, appreciate your help!
-
Allysmum:
Hiquestion 2. Tks for the help!
There were some green paper clips and blue paper clips in a box. If 44 green paper Clips were to be removed from the box, the ratio of the number of green paper clips to the number of blue paper clips would be 4:5. If 20 blue paper clips were to be removed from the box instead, the ratio of the number of green paper clips to the number of blue paper clips would be 6:5. When another 150 blue paper clips were put into the box, what percentage of all the paper clips in the box would be blue paper clips in the end?
Scenario 1
If 44 green paper Clips were to be removed from the box, the ratio of the number of green paper clips to the number of blue paper clips would be 4:5.
Green:Blue ------ 4 units:5units
At first
Green:Blue ------ 4 units+44 :5units
Scenario 2
At first
Green:Blue ------ 4 units+44 :5units
If 20 blue paper clips were to be removed from the box instead, the ratio of the number of green paper clips to the number of blue paper clips would be 6:5.
Green:Blue ------ 6 parts:5parts
4 units + 44 ------ 6 parts
5 units – 20 ------ 5 parts
Equalise the parts
20 units + 220 ------ 30 parts
30 units – 120 ------- 30 parts
30 units – 120 ------- 20 units + 220
10 units ------ 340
1 unit ------- 34
Green:Blue ------ 4 units+44 :5units -------- 180:170
When another 150 blue paper clips were put into the box, we’ll have 320 blue clips (170+150)
% blue ------- 320/(320+180)*100% ------ 64%
Best wishes -
ozora:
Hi
2.the number of marbles in Box A was twice the number of marbles in Box B.
30% of the marbles in Box A and 20% of the marbles in Box B were moved to Box C. As a result, the number of marbles in Box C was increased by 40%. How many marbles were in Box B at first if there are 28 marbles in Box C now?
Box A: BoxB ------- 2:1 ------- 10:5
30% of the marbles in Box A and 20% of the marbles in Box B were moved to Box C. As a result, the number of marbles in Box C was increased by 40%.
3 units from Box A and 1 unit from Box B moved to Box C.
Box C ------- 14 units
14 units ------ 28
1 unit ------ 2
Box B ------ 5 units ------- 10
Best wishes -
MathIzzzFun:
thanks. That's solve my doubts for q1. I tried to use equal model for yellow n blue but got stuck. Forgot I could use ratio .
Hiozora:
need some guide to solve the following questions.
1. A box contained red, blue and yellow clips.
1/2 of the red clips , 3/4 of the blue clips and 2/3 of the yellow clips were removed.
as a result, 1/5 of the remaining clips were red and there was an equal number of blue and yellow clips.
There were 48 yellow and red clips at first. How many more blue clips than red clips were there at first?
2.the number of marbles in Box A was twice the number of marbles in Box B.
30% of the marbles in Box A and 20% of the marbles in Box B were moved to Box C. As a result, the number of marbles in Box C was increased by 40%. How many marbles were in Box B at first if there are 28 marbles in Box C now?
Q1. in the end,
red : yellow + brlue --> 1u : 4u,J
sijce there are equal number of yellow and blue chips,
red:yellow:blue --> 1u:2u:2u
at first,
red:yellow:blue --> 2u:6u:8u
Can you continue from here?
cheers. -
jarenchuatw:
HiSOS for this question:
A, B and C had some marbles. B had 25% more than C. A had 40% more than B. After the game was over A had as many marbles as B. They had lost a total of 48 marbles to C. How many marbles did A lose to C?
Where is this question from?
Perhaps, some information might be missing.
There are multiple answers, one possible answer is 36.
Please check with your source.
Best wishes -
Oops, you are absolutely right Councillor. Forget to type in one sentence. Sorry for the mistake
A, B and C had some marbles.B had 25% more than C. A had 40% more than B. After the game was over A had as many marbles as B. They had lost a total of 48 marbles to C. C then had 80% more marbles than before. How many marbles did A lose to C? -
Need help on these two speed question !
Q1. Meiling and Raja started on a 36km cycling trip at the same time. They cycled at the same speed of the first 12km. For the remaining 24km , Meiling cycled at a fast speed. She arrived at the finishing point 10 mins before Raja who was 4km behind her. Raja did not change his speed throughout the trip and he completed the trip at 1110.
A) at what time did the trip start ?
B) what was Meiling’a average speed for the remaining 24 km of the trip in m/min ?
Q2. CYTHNIA walked to the library from school and at the same time, Mrs Lee walked to school from the library. If they walked towards each other, they would meet 4mins later. If they walked in the same direction, it would take CYTHNIA 20 mins to catch up with Mrs Lee whose walking speed was 40m/min . How far was the library from the school ? Assume that Mrs Lee’s walking speed was constant at all times.
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