13 of Barbara's money was equal to
15 of Yen's money at first. After Barbara spent $28 and Yen spent
13 of her money, Barbara had
12 as much money as Yen.
- How much money did Yen have at first?
- How much money did Yen have in the end?
| |
Barbara |
Yen |
Comparing Barbara
and Yen at first |
3x3 =
9 u |
5x3 =
15 u |
| Before |
|
3x5 =
15 u |
| Change |
- $28 |
- 1x5 =
- 5 u |
| After |
|
2x5 =
10 u |
Comparing Barbara
and Yen in the end |
1x5 =
5 u |
2x5 =
10 u |
13 Barbara's money =
15 Yen's money
Make numerators the same.
13 Barbara's money =
1x15x1 Yen's money
13 Barbara's money =
15 Yen's money
Barbara's money : Yen's money = 3 : 5
The amount that Yen had at first is repeated. Make the amount that Yen had at first the same. LCM of 5 and 3 is 15.
Amount that Barbara spent
= 9 u - 5 u
= 4 u
4 u = 28
1 u = 28 ÷ 4 = 7
(a)
Amount that Yen had at first
= 15 u
= 15 x 7
= $105
(b)
Amount that Yen had in the end
= 10 u
= 10 x 7
= $70
Answer(s): (a) $105; (b) $70
