Gem had $490 less than Shiyun. Shiyun spent 0.8 of her money and Gem spent 10% of her money. In the end, Shiyun and Gem had the same amount of money left. Find the amount of money that Shiyun had at first.
| |
Gem |
Shiyun |
Comparing Shiyun
and Gem at first |
|
490 more |
| Before |
10x1 =
10 u |
5x9 =
45 u |
| Change |
- 1x1 =
- 1 u |
- 4x9 =
- 36 u |
| After |
9x1 =
9 u |
1x9 =
9 u |
0.8 =
810 =
45 10% =
10100 =
110 Gem and Shiyun had the same amount of money in the end. Make the amount that each had in the end the same. LCM of 1 and 9 is 9.
Amount that Gem had less than Shiyun at first
= 45 u - 10 u
= 35 u
35 u = 490
1 u = 490 ÷ 35 = 14
Amount that Shiyun had at first
= 45 u
= 45 x 14
= $630
Answer(s): $630
