Eric owned two shops selling milk tea. Shop V earned 30% more money than Shop W on Monday. On Tuesday, Shop V lost $244 while Shop W earned another $56. In the end, Shop V contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop V earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop V
(1) |
Shop W
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 976 |
- 244 |
+ 56 |
+ 280 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Eric earned from Shop W on Monday in percentage = 100%
Amount that Eric earned from Shop V on Monday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Eric earned from Shop W
= 1 -
59 =
49(3) = (4)
52 u - 976 = 50 u + 280
52 u - 50 u = 976 + 280
2 u = 1256
1 u = 1256 ÷ 2 = 628
Amount that Eric earned from Shop V over the two days
= 13 u - 244
= 13 x 628 - 244
= 8164 - 244
= $7920
Answer(s): $7920
