Dylan owned two shops selling carpets. Shop U earned 25% more money than Shop V on Thursday. On Friday, Shop U lost $129 while Shop V earned another $215. In the end, Shop U contributed to 211 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)x9 = (3) |
U
(1) |
V
(2) |
Make p the same
(2)x2 = (4) |
| Before |
45 u |
5 u |
4 u |
8 u |
| Change |
- 1161 |
- 129 |
+ 215 |
+ 430 |
| After |
18 p |
2 p |
9 p |
18 p |
Amount that Dylan earned from Shop V on Thursday in percentage = 100%
Amount that Dylan earned from Shop U on Thursday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Dylan earned from Shop V
= 1 -
211 =
911(3) = (4)
45 u - 1161 = 8 u + 430
45 u - 8 u = 1161 + 430
37 u = 1591
1 u = 1591 ÷ 37 = 43
Amount that Dylan earned from Shop U over the two days
= 5 u - 129
= 5 x 43 - 129
= 215 - 129
= $86
Answer(s): $86
