Gabby had $375 less than Ryan. Ryan spent 0.8 of his money and Gabby spent 0.3 of her money. In the end, Ryan and Gabby had the same amount of money left. Find the amount of money Gabby had at first.
| |
Gabby |
Ryan |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Ryan's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Gabby's amount left
= 1 -
310 =
710 The amount that Ryan and Gabby each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Ryan's amount =
710 of Gabby's amount
735 of Ryan's amount =
710 of Gabby's amount
Amount that Gabby had less than Ryan
= 35 u - 10 u
= 25 u
25 u = 375
1 u = 375 ÷ 25 = 15
Amount that Gabby had at first
= 10 u
= 10 x 15
= $150
Answer(s): $150
