Albert owned two shops selling lighting. Shop U earned 30% more money than Shop V on Monday. On Tuesday, Shop U lost $367 while Shop V earned another $134. In the end, Shop U contributed to 59 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)x4 = (3) |
Shop U
(1) |
Shop V
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 1468 |
- 367 |
+ 134 |
+ 670 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Albert earned from Shop V on Monday in percentage = 100%
Amount that Albert earned from Shop U on Monday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Albert earned from Shop V
= 1 -
59 =
49(3) = (4)
52 u - 1468 = 50 u + 670
52 u - 50 u = 1468 + 670
2 u = 2138
1 u = 2138 ÷ 2 = 1069
Amount that Albert earned from Shop U over the two days
= 13 u - 367
= 13 x 1069 - 367
= 13897 - 367
= $13530
Answer(s): $13530
