Ivan owned two shops selling carpets. Shop V earned 30% more money than Shop W on Tuesday. On Wednesday, Shop V lost $499 while Shop W earned another $212. 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 |
- 1996 |
- 499 |
+ 212 |
+ 1060 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Ivan earned from Shop W on Tuesday in percentage = 100%
Amount that Ivan earned from Shop V on Tuesday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Ivan earned from Shop W
= 1 -
59 =
49(3) = (4)
52 u - 1996 = 50 u + 1060
52 u - 50 u = 1996 + 1060
2 u = 3056
1 u = 3056 ÷ 2 = 1528
Amount that Ivan earned from Shop V over the two days
= 13 u - 499
= 13 x 1528 - 499
= 19864 - 499
= $19365
Answer(s): $19365
