14 of Zara's money was equal to
13 of Barbara's money at first. After Zara spent $204 and Barbara spent
25 of her money, Zara had
13 as much money as Barbara.
- How much money did Barbara have at first?
- How much money did Barbara have in the end?
| |
Zara |
Barbara |
Comparing Zara
and Barbara at first |
4x5 =
20 u |
3x5 =
15 u |
| Before |
|
5x3 =
15 u |
| Change |
- $204 |
- 2x3 =
- 6 u |
| After |
|
3x3 =
9 u |
Comparing Zara
and Barbara in the end |
1x3 =
3 u |
3x3 =
9 u |
14 Zara's money =
13 Barbara's money
Make numerators the same.
14 Zara's money =
1x13x1 Barbara's money
14 Zara's money =
13 Barbara's money
Zara's money : Barbara's money = 4 : 3
The amount that Barbara had at first is repeated. Make the amount that Barbara had at first the same. LCM of 3 and 5 is 15.
Amount that Zara spent
= 20 u - 3 u
= 17 u
17 u = 204
1 u = 204 ÷ 17 = 12
(a)
Amount that Barbara had at first
= 15 u
= 15 x 12
= $180
(b)
Amount that Barbara had in the end
= 9 u
= 9 x 12
= $108
Answer(s): (a) $180; (b) $108
