Mary, Jane and Gem went shopping together. They brought a total of $1140 with them. Mary spent 50% of her money. Jane spent $164 and Gem spent twice as much money as Mary. In the end, they had $511 left. How much money did Jane and Gem have altogether in the end?
| |
Mary |
Jane |
Gem |
Total |
| Before |
2 u |
|
|
1140 |
| Change |
- 1 u |
- 164 |
- 2 u |
- 629 |
| After |
1 u |
? |
511 |
50% =
50100 =
12 Mary spent: Mary's total = 1 : 2
Amount that Gem spent
= 2 x 1 u
= 2 u
Amount that the three girls spent
= 1 u + 2 u + 164
= 3 u + 164
Amount that the three girls spent
= 1140 - 511
= $629
3 u + 164 = 629
3 u = 629 - 164
3 u = 465
1 u = 465 ÷ 3 = 155
Amount that Jane and Gem had in the end
= 511 - 1 u
= 511 - 1 x 155
= 511 - 155
= $356
Answer(s): $356
