Asher owned two shops selling apparel. Shop W earned 25% more money than Shop X on Tuesday. On Wednesday, Shop W lost $145 while Shop X earned another $241. In the end, Shop W contributed to 512 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)x7 = (3) |
W
(1) |
X
(2) |
Make p the same
(2)x5 = (4) |
| Before |
35 u |
5 u |
4 u |
20 u |
| Change |
- 1015 |
- 145 |
+ 241 |
+ 1205 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Asher earned from Shop X on Tuesday in percentage = 100%
Amount that Asher earned from Shop W on Tuesday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Asher earned from Shop X
= 1 -
512 =
712(3) = (4)
35 u - 1015 = 20 u + 1205
35 u - 20 u = 1015 + 1205
15 u = 2220
1 u = 2220 ÷ 15 = 148
Amount that Asher earned from Shop W over the two days
= 5 u - 145
= 5 x 148 - 145
= 740 - 145
= $595
Answer(s): $595
