Q&A - P5 Math

[leelk]

Question (1)

Hanis had $960 less than Lina. After Hanis gave $2400 to Lina, Lina had 3 times as much as Hanis.
a) How much did Lina have in the end?
b) How much did Hanis have at first?

Question (2)
Mr A and Ms B went shopping with a total of $300 and each bought some items. The amount Mr A spent is three times the amount he has left. The amount Ms B spent is twice the amount she has left. Given that the two friends have a total of $90 left, how much did each of them have at first?

[MathIzzzFun]

leelk:

Question (1)

Hanis had $960 less than Lina. After Hanis gave $2400 to Lina, Lina had 3 times as much as Hanis.
a) How much did Lina have in the end?
b) How much did Hanis have at first?

Question (2)
Mr A and Ms B went shopping with a total of $300 and each bought some items. The amount Mr A spent is three times the amount he has left. The amount Ms B spent is twice the amount she has left. Given that the two friends have a total of $90 left, how much did each of them have at first?

Hi
Both questions can be solved using MD too.

q1.
Initially, Hanis = 1u, Lisa = 1u + 960

After Hanis gave $2400 to Lisa,
Hanis : Lisa
= 1u - $2400 : 1u + $960 + $2400
= 1u - $2400 : 1u + $3360
= 1 : 3

Cross-multiply-

3u - $7200 = 1u + $3360
2u = $10560
1u = $5280

In the end, Lisa had 1u + $3360 = $5280 + $3360 = $8640

At first, Hanis had 1u = $ 5280

q2.

Mrs A = * * * *
Mrs B = @ @ @ (\"amount spent\" in red)

* + @ = $ 90
* * * + @ @ = $ 300 - $90 = $210

So, * = $ 210 - 2 x $90 = $30
@ = $90 - $30 = $60

At first,
Mrs A had 4 x $30 = $ 120
Mrs B had 3 x $ 60 = $ 180

cheers.

[tinasen]

Can someone help with a solution (Model methos) to solve this question pls.

Weichong and Rama collect stamps. If Rama gives Weichong 15 stamps, he will have the same number of stamps as Weichong. If Weichong gives 15 stamps, he will have 1/2 as many stamps as Rama. How many stamps does each boy have?

Answer is be Rama 105 and WeiChong 75
Here is what I attempted and came out with wrong answer
After R gives 15 to W,
Case 1: R -> []15
W -> []15

After W gives 15 to R,
Case 2: R-> [][]
W->[]
Substituting in case 2, 1U –> 15+15 -> 30
W –> 30+15 = 45
R –> 60-15 = 45

[MathIzzzFun]

tinasen:

Can someone help with a solution (Model methos) to solve this question pls.

Weichong and Rama collect stamps. If Rama gives Weichong 15 stamps, he will have the same number of stamps as Weichong. If Weichong gives 15 stamps, he will have 1/2 as many stamps as Rama. How many stamps does each boy have?

Answer is be Rama 105 and WeiChong 75
Here is what I attempted and came out with wrong answer
After R gives 15 to W,
Case 1: R -> []15
W -> []15

After W gives 15 to R,
Case 2: R-> [][]
W->[]
Substituting in case 2, 1U --> 15+15 -> 30
W --> 30+15 = 45
R --> 60-15 = 45

Hi

http://i55.tinypic.com/vfeo5.jpg\">

cheers

[ozora]

need some help in the following question http://i52.tinypic.com/15p4a2x.jpg\">

[metz]

tinasen:

Can someone help with a solution (Model methos) to solve this question pls.

Weichong and Rama collect stamps. If Rama gives Weichong 15 stamps, he will have the same number of stamps as Weichong. If Weichong gives 15 stamps, he will have 1/2 as many stamps as Rama. How many stamps does each boy have?
Answer is be Rama 105 and WeiChong 75

http://i56.tinypic.com/2uo4eaq.png\">

[MathIzzzFun]

ozora:

need some help in the following question http://i52.tinypic.com/15p4a2x.jpg\">

Hi

P + R = Q + S = 1/2 area of rectangle.

S = P + R -Q

cheers.

[tinasen]

Thank you very much Chamonix. It was schoolwork for my DS and I was struggling with it. Now I get it with your clear MD. Thanks a lot.

chamonix:

tinasen:

Can someone help with a solution (Model methos) to solve this question pls.
Weichong and Rama collect stamps. If Rama gives Weichong 15 stamps, he will have the same number of stamps as Weichong. If Weichong gives 15 stamps, he will have 1/2 as many stamps as Rama. How many stamps does each boy have?
Answer is be Rama 105 and WeiChong 75

http://i56.tinypic.com/2uo4eaq.png\">

[Winx5015]

Need help to solve some math questions.


Q1). 5/7 of Mike’s money is equal to 2/3 of Rachel’s money. Rachel has $1600 more than Mike. If Mike spends 5/8 of his money, how much money will he have left?

Q2). Sue has some money. She spends $100 on 3 identical bags and 7 identical belts. If she wants to buy another bag, she will be short of $4. However, if she buys 1 more belt, she will have $6 left. How much money does Sue has?

Q3). Paul baked some tarts. He sold 2/5 of them in the morning and 2/7 of the remainder in the afternoon. he sold 472 more tarts in the morning than in the afternoon. If each tart was sold for $0.87, how much did Paul collect from the sales? Give your answer to the nearest dollars.

Thanks!

[MathIzzzFun]

Winx5015:

Need help to solve some math questions.


Q1). 5/7 of Mike's money is equal to 2/3 of Rachel's money. Rachel has $1600 more than Mike. If Mike spends 5/8 of his money, how much money will he have left?

Thanks!

Hi

Q1.
5/7 of mike’s money = 2/3 of rachel’s money
--> 10/14 of mike’s money = 10/15 of rachel’s money
So, mike's money to rachel’s money = 14u : 15u

1u = $1600, mike’s money left = 3/8 x 14 x $1600 = $8400

cheers.