25 of Barbara's money was equal to
12 of Sarah's money at first. After Barbara spent $84 and Sarah spent
25 of her money, Barbara had
13 as much money as Sarah.
- How much money did Sarah have at first?
- How much money did Sarah have in the end?
| |
Barbara |
Sarah |
Comparing Barbara
and Sarah at first |
5x5 =
25 u |
4x5 =
20 u |
| Before |
|
5x4 =
20 u |
| Change |
- $84 |
- 2x4 =
- 8 u |
| After |
|
3x4 =
12 u |
Comparing Barbara
and Sarah in the end |
1x4 =
4 u |
3x4 =
12 u |
25 Barbara's money =
12 Sarah's money
Make numerators the same.
25 Barbara's money =
1x22x2 Sarah's money
25 Barbara's money =
24 Sarah's money
Barbara's money : Sarah's money = 5 : 4
The amount that Sarah had at first is repeated. Make the amount that Sarah had at first the same. LCM of 4 and 5 is 20.
Amount that Barbara spent
= 25 u - 4 u
= 21 u
21 u = 84
1 u = 84 ÷ 21 = 4
(a)
Amount that Sarah had at first
= 20 u
= 20 x 4
= $80
(b)
Amount that Sarah had in the end
= 12 u
= 12 x 4
= $48
Answer(s): (a) $80; (b) $48
