Liam owned two shops selling electrical appliances. Shop W earned 30% more money than Shop X on Wednesday. On Thursday, Shop W lost $325 while Shop X earned another $286. 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 |
- 1300 |
- 325 |
+ 286 |
+ 1430 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Liam earned from Shop X on Wednesday in percentage = 100%
Amount that Liam earned from Shop W on Wednesday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Liam earned from Shop X
= 1 -
59 =
49(3) = (4)
52 u - 1300 = 50 u + 1430
52 u - 50 u = 1300 + 1430
2 u = 2730
1 u = 2730 ÷ 2 = 1365
Amount that Liam earned from Shop W over the two days
= 13 u - 325
= 13 x 1365 - 325
= 17745 - 325
= $17420
Answer(s): $17420
