25 of Tammy's money was equal to
14 of Shannon's money at first. After Tammy spent $51 and Shannon spent
35 of her money, Tammy had
12 as much money as Shannon.
- How much money did Shannon have at first?
- How much money did Shannon have in the end?
| |
Tammy |
Shannon |
Comparing Tammy
and Shannon at first |
5x5 =
25 u |
8x5 =
40 u |
| Before |
|
5x8 =
40 u |
| Change |
- $51 |
- 3x8 =
- 24 u |
| After |
|
2x8 =
16 u |
Comparing Tammy
and Shannon in the end |
1x8 =
8 u |
2x8 =
16 u |
25 Tammy's money =
14 Shannon's money
Make numerators the same.
25 Tammy's money =
1x24x2 Shannon's money
25 Tammy's money =
28 Shannon's money
Tammy's money : Shannon's money = 5 : 8
The amount that Shannon had at first is repeated. Make the amount that Shannon had at first the same. LCM of 8 and 5 is 40.
Amount that Tammy spent
= 25 u - 8 u
= 17 u
17 u = 51
1 u = 51 ÷ 17 = 3
(a)
Amount that Shannon had at first
= 40 u
= 40 x 3
= $120
(b)
Amount that Shannon had in the end
= 16 u
= 16 x 3
= $48
Answer(s): (a) $120; (b) $48
