14 of Emily's money was equal to
13 of Pamela's money at first. After Emily spent $85 and Pamela spent
25 of her money, Emily had
13 as much money as Pamela.
- How much money did Pamela have at first?
- How much money did Pamela have in the end?
| |
Emily |
Pamela |
Comparing Emily
and Pamela at first |
4x5 =
20 u |
3x5 =
15 u |
| Before |
|
5x3 =
15 u |
| Change |
- $85 |
- 2x3 =
- 6 u |
| After |
|
3x3 =
9 u |
Comparing Emily
and Pamela in the end |
1x3 =
3 u |
3x3 =
9 u |
14 Emily's money =
13 Pamela's money
Make numerators the same.
14 Emily's money =
1x13x1 Pamela's money
14 Emily's money =
13 Pamela's money
Emily's money : Pamela's money = 4 : 3
The amount that Pamela had at first is repeated. Make the amount that Pamela had at first the same. LCM of 3 and 5 is 15.
Amount that Emily spent
= 20 u - 3 u
= 17 u
17 u = 85
1 u = 85 ÷ 17 = 5
(a)
Amount that Pamela had at first
= 15 u
= 15 x 5
= $75
(b)
Amount that Pamela had in the end
= 9 u
= 9 x 5
= $45
Answer(s): (a) $75; (b) $45
