Pierre owned two shops selling toys. Shop W earned 40% more money than Shop X on Monday. On Tuesday, Shop W lost $295 while Shop X earned another $415. In the end, Shop W contributed to 38 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)x5 = (3) |
Shop W
(1) |
Shop X
(2) |
Make p the same
(2)x3 = (4) |
| Before |
35 u |
7 u |
5 u |
15 u |
| Change |
- 1475 |
- 295 |
+ 415 |
+ 1245 |
| After |
15 p |
3 p |
5 p |
15 p |
Amount that Pierre earned from Shop X on Monday in percentage = 100%
Amount that Pierre earned from Shop W on Monday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Pierre earned from Shop X
= 1 -
38 =
58(3) = (4)
35 u - 1475 = 15 u + 1245
35 u - 15 u = 1475 + 1245
20 u = 2720
1 u = 2720 ÷ 20 = 136
Amount that Pierre earned from Shop W over the two days
= 7 u - 295
= 7 x 136 - 295
= 952 - 295
= $657
Answer(s): $657
