Kathy, Cathy and Opal went shopping together. They brought a total of $1048 with them. Kathy spent 50% of her money. Cathy spent $164 and Opal spent twice as much money as Kathy. In the end, they had $617 left. How much money did Cathy and Opal have altogether in the end?
| |
Kathy |
Cathy |
Opal |
Total |
| Before |
2 u |
|
|
1048 |
| Change |
- 1 u |
- 164 |
- 2 u |
- 431 |
| After |
1 u |
? |
617 |
50% =
50100 =
12 Kathy spent: Kathy's total = 1 : 2
Amount that Opal 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
= 1048 - 617
= $431
3 u + 164 = 431
3 u = 431 - 164
3 u = 267
1 u = 267 ÷ 3 = 89
Amount that Cathy and Opal had in the end
= 617 - 1 u
= 617 - 1 x 89
= 617 - 89
= $528
Answer(s): $528
