Gabriel owned two shops selling souvenirs. Shop W earned 30% more money than Shop X on Monday. On Tuesday, Shop W lost $54 while Shop X earned another $222. In the end, Shop W contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop W earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop W
(1) |
Shop X
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 216 |
- 54 |
+ 222 |
+ 1110 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Gabriel earned from Shop X on Monday in percentage = 100%
Amount that Gabriel earned from Shop W on Monday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Gabriel earned from Shop X
= 1 -
59 =
49(3) = (4)
52 u - 216 = 50 u + 1110
52 u - 50 u = 216 + 1110
2 u = 1326
1 u = 1326 ÷ 2 = 663
Amount that Gabriel earned from Shop W over the two days
= 13 u - 54
= 13 x 663 - 54
= 8619 - 54
= $8565
Answer(s): $8565
