Dylan owned two shops selling stationery. Shop U earned 25% more money than Shop V on Wednesday. On Thursday, Shop U lost $157 while Shop V earned another $370. In the end, Shop U contributed to 25 of the total earnings of the two shops over the two days operation. How much did Shop U earn over the two days?
| |
Make p the same
(1)x3 = (3) |
U
(1) |
V
(2) |
Make p the same
(2)x2 = (4) |
| Before |
15 u |
5 u |
4 u |
8 u |
| Change |
- 471 |
- 157 |
+ 370 |
+ 740 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Dylan earned from Shop V on Wednesday in percentage = 100%
Amount that Dylan earned from Shop U on Wednesday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Dylan earned from Shop V
= 1 -
25 =
35(3) = (4)
15 u - 471 = 8 u + 740
15 u - 8 u = 471 + 740
7 u = 1211
1 u = 1211 ÷ 7 = 173
Amount that Dylan earned from Shop U over the two days
= 5 u - 157
= 5 x 173 - 157
= 865 - 157
= $708
Answer(s): $708
