Gem had $380 less than Cody. Cody spent 0.8 of his money and Gem spent 0.4 of her money. In the end, Cody and Gem had the same amount of money left. Find the amount of money Gem had at first.
| |
Gem |
Cody |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Cody's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Gem's amount left
= 1 -
25 =
35 The amount that Cody and Gem each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Cody's amount =
35 of Gem's amount
315 of Cody's amount =
35 of Gem's amount
Amount that Gem had less than Cody
= 15 u - 5 u
= 10 u
10 u = 380
1 u = 380 ÷ 10 = 38
Amount that Gem had at first
= 5 u
= 5 x 38
= $190
Answer(s): $190
