Henry owned two shops selling jewellery. Shop W earned 40% more money than Shop X on Wednesday. On Thursday, Shop W lost $290 while Shop X earned another $377. 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 |
28 u |
7 u |
5 u |
25 u |
| Change |
- 1160 |
- 290 |
+ 377 |
+ 1885 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Henry earned from Shop X on Wednesday in percentage = 100%
Amount that Henry earned from Shop W on Wednesday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Henry earned from Shop X
= 1 -
59 =
49(3) = (4)
28 u - 1160 = 25 u + 1885
28 u - 25 u = 1160 + 1885
3 u = 3045
1 u = 3045 ÷ 3 = 1015
Amount that Henry earned from Shop W over the two days
= 7 u - 290
= 7 x 1015 - 290
= 7105 - 290
= $6815
Answer(s): $6815
