25 of Betty's money was equal to
14 of Sarah's money at first. After Betty spent $56 and Sarah spent
13 of her money, Betty had
12 as much money as Sarah.
- How much money did Sarah have at first?
- How much money did Sarah have in the end?
| |
Betty |
Sarah |
Comparing Betty
and Sarah at first |
5x3 =
15 u |
8x3 =
24 u |
| Before |
|
3x8 =
24 u |
| Change |
- $56 |
- 1x8 =
- 8 u |
| After |
|
2x8 =
16 u |
Comparing Betty
and Sarah in the end |
1x8 =
8 u |
2x8 =
16 u |
25 Betty's money =
14 Sarah's money
Make numerators the same.
25 Betty's money =
1x24x2 Sarah's money
25 Betty's money =
28 Sarah's money
Betty's money : Sarah's money = 5 : 8
The amount that Sarah had at first is repeated. Make the amount that Sarah had at first the same. LCM of 8 and 3 is 24.
Amount that Betty spent
= 15 u - 8 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
(a)
Amount that Sarah had at first
= 24 u
= 24 x 8
= $192
(b)
Amount that Sarah had in the end
= 16 u
= 16 x 8
= $128
Answer(s): (a) $192; (b) $128
