Q&A - P5 Math
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Jamesbond:
Elimination method :Cali's spent $1485 on 9 identical handbags and 3 identical pairs of shoes. Sherlyn spent $ 867 less than Calise on 2 such handbags and 6 such pairs of shoes.what was the total cost of 3 such handbags and 2 such pairs of shoes?
Pl help :?
9 handbags + 3 pairs of shoes --> $1485 -- (1)
2 handbags + 6 pairs of shoes --> $ 1485 - $ 867 = $618 -- (2)
(1)x2 --- 18 handbags + 6 pairs of shoes --> $ 2970 -- (3)
(3)-(2) -- 16 handbags --> $ 2970 - $ 618 = $ 2352
1 handbag --> $ 147
from (1) -- 1 pair of shoes --> $(1485-9 x 147)/3 = $ 54
3 handbags + 2 pairs of shoes --> 3 x $147 + 2 x $ 54 = $ 549
grouping method:
9 handbags + 3 pairs of shoes --> $1485
divide by 3 -- 3 handbags + 1 pair of shoes --> $495 --- (1)
2 handbags + 6 pairs of shoes --> $ 1485 - $ 867 = $618
divide by 2 -- 1 handbag + 3 pairs of shoes --> $309 -- (2)
(1)+(2) -- 4 handbags + 4 pairs of shoes --> $ 495 + $ 309= $ 804
divide by 4 -- 1 handbag + 1 pair of shoes = $ 201
from (2) -- 2 pairs of shoes --> $ 309 - $ 201 = $ 108
1 pair of shoes --> $ 54
3 handbags + 2 pairs of shoes
= $ 495 (from (1)) + $ 54 (1 pair of shoes)
= $ 549
cheers. -
How about this:
There are some 20-cent and 50-cent coins in a piggy bank. The coins add up to $17.30. There are 6 more 20-cent coins than 50-cent coins. How many 50-cent coins are there in the piggy bank? -
Oracle:
make the number of coins same ie same number of 20-cent and 50-cent coins -- either add 6 more 50-cent coins or remove 6 20-cent coinsHow about this:
There are some 20-cent and 50-cent coins in a piggy bank. The coins add up to $17.30. There are 6 more 20-cent coins than 50-cent coins. How many 50-cent coins are there in the piggy bank?
add 6 more 50-cent coins --> 6 x $0.50 = $3.00
Total amount of money = $ 17.30 + $3.00 = $20.30
1 set of 1x20-cent and 1x50-cent coins --> $0.70
$20.30 / $0.70 --> 29 sets of 1x20-cent and 1x50-cent coins
Number of 50-cents --> 29 - 6 = 23
remove 6 20-cent coins --> 6 x $0.20 = $ 1.20
Total amount of money --> $ 17.30 - $ 1.20 = $ 16.10
1 set of 1x20-cent and 1x50-cent coins --> $0.70
$16.10 / $0.70 --> 23 sets of 1x20-cent and 1x50-cent coins
Number of 50-cent coins = 23
cheers. -
Thanks MathIzzzFun, inspired by your workings, I managed to conceptualize the problem sum. Basically,
Total amount of money → $17.30
6 more 20¢ coins than 50¢ coins → (20c x 7) + 1x50¢ → $1.90
One set of 1x20¢ and 1x50¢ coins → $0.70
$17.30 - $1.90 = $15.40
$15.40 ÷ $0.70 = 22 sets of 20¢ and 50¢
Therefore, number of 50¢ coins
= twenty-two 50¢ + one 50¢
= 23
Thank you very much indeed. -
Borsche manufactures 3 cars daily while Percedes manufatures 2 more cars everyday. Even though Percedes started production 12 days later than Borsche, Percedes has now produced 14 more cars than Borsche.
a) how many cars did Borsche produce by Day 12?
b) how many days did Percedes take to produce 14 more cars than Borsche?
(no listing method) -
Dear all
I need help on this question:-
Joshua counted the number of digits of all the page numbers in an encyclopedia. He found that a total of 1359 digits were used. How many pages were there in the book?
Thank you -
in a stadium, the number of girls is equal to the number of men. there are 252 females altogether, 7/9 of the children and 2/3 of the adults are females.
a) find the number of girls
b) find the difference in the number of children and adults -
chloecube:
Children --> 9 unitsin a stadium, the number of girls is equal to the number of men. there are 252 females altogether, 7/9 of the children and 2/3 of the adults are females.
a) find the number of girls
b) find the difference in the number of children and adults
Girls --> 7 units
Boys --> 2 units
Men --> 7 units (1/3 of adults)
Women --> 14 units
Adults --> 21 units
Total females --> 7 units + 14 units = 21 units --> 252
1 unit --> 12
Number of girls --> 7 x 12 = 84
Difference in number of adults and children
--> 21 units - 9 units
= 12 units
= 12 x 12 = 144
cheers. -
chloecube:
Borsche --> 3 cars/dayBorsche manufactures 3 cars daily while Percedes manufatures 2 more cars everyday. Even though Percedes started production 12 days later than Borsche, Percedes has now produced 14 more cars than Borsche.
a) how many cars did Borsche produce by Day 12?
b) how many days did Percedes take to produce 14 more cars than Borsche?
(no listing method)
Number of cars produced by Borsche in 12 days --> 12 x 3 = 36 cars
To produce 14 more cars, Percedes must first catch up on the first 36 cars.
Total number of extra cars to be produced
= 36 + 14 = 50 cars
number of days Percedes take to produce 14 more cars than Borsche
= 50/2 = 25 (by day 37)
cheers. -
in a stadium, the number of girls is equal to the number of men. there are 252 females altogether, 7/9 of the children and 2/3 of the adults are females.
a) find the number of girls
b) find the difference in the number of children and adults
Let the total number of Children be 9 units.
=> there are 7units of girl. Since the number of girls is same as the number of men, there will also be 7 units of men.
Men made up 1/3 of the adult, thus 2/3 of the adult is women, which is 14units.
7units of girls and 14units of women = 252 females => 1 unit = 12.
a) number of girls = 7 units x 12 = 84 girls.
b) total children is 9units = 9x12 = 108
total adult is 21units = 21x12 = 252
difference is 252-108 = 144.
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