Valen owned two shops selling electrical appliances. Shop W earned 30% more money than Shop X on Friday. On Saturday, Shop W lost $337 while Shop X earned another $230. 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 |
- 1348 |
- 337 |
+ 230 |
+ 1150 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Valen earned from Shop X on Friday in percentage = 100%
Amount that Valen earned from Shop W on Friday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Valen earned from Shop X
= 1 -
59 =
49(3) = (4)
52 u - 1348 = 50 u + 1150
52 u - 50 u = 1348 + 1150
2 u = 2498
1 u = 2498 ÷ 2 = 1249
Amount that Valen earned from Shop W over the two days
= 13 u - 337
= 13 x 1249 - 337
= 16237 - 337
= $15900
Answer(s): $15900
