Ben owned two shops selling mobile phones. Shop U earned 30% more money than Shop V on Friday. On Saturday, Shop U lost $485 while Shop V earned another $336. In the end, Shop U contributed to 37 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)x3 = (4) |
| Before |
52 u |
13 u |
10 u |
30 u |
| Change |
- 1940 |
- 485 |
+ 336 |
+ 1008 |
| After |
12 p |
3 p |
4 p |
12 p |
Amount that Ben earned from Shop V on Friday in percentage = 100%
Amount that Ben earned from Shop U on Friday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Ben earned from Shop V
= 1 -
37 =
47(3) = (4)
52 u - 1940 = 30 u + 1008
52 u - 30 u = 1940 + 1008
22 u = 2948
1 u = 2948 ÷ 22 = 134
Amount that Ben earned from Shop U over the two days
= 13 u - 485
= 13 x 134 - 485
= 1742 - 485
= $1257
Answer(s): $1257
