Mary, Diana and Vanessa went shopping together. They brought a total of $1167 with them. Mary spent 50% of her money. Diana spent $105 and Vanessa spent twice as much money as Mary. In the end, they had $507 left. How much money did Diana and Vanessa have altogether in the end?
| |
Mary |
Diana |
Vanessa |
Total |
| Before |
2 u |
|
|
1167 |
| Change |
- 1 u |
- 105 |
- 2 u |
- 660 |
| After |
1 u |
? |
507 |
50% =
50100 =
12 Mary spent: Mary's total = 1 : 2
Amount that Vanessa spent
= 2 x 1 u
= 2 u
Amount that the three girls spent
= 1 u + 2 u + 105
= 3 u + 105
Amount that the three girls spent
= 1167 - 507
= $660
3 u + 105 = 660
3 u = 660 - 105
3 u = 555
1 u = 555 ÷ 3 = 185
Amount that Diana and Vanessa had in the end
= 507 - 1 u
= 507 - 1 x 185
= 507 - 185
= $322
Answer(s): $322
