Sam owned two shops selling watches. Shop P earned 40% more money than Shop Q on Wednesday. On Thursday, Shop P lost $274 while Shop Q earned another $146. In the end, Shop P contributed to 37 of the total earnings of the two shops over the two days operation. How much did Shop P earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop P
(1) |
Shop Q
(2) |
Make p the same
(2)x3 = (4) |
| Before |
28 u |
7 u |
5 u |
15 u |
| Change |
- 1096 |
- 274 |
+ 146 |
+ 438 |
| After |
12 p |
3 p |
4 p |
12 p |
Amount that Sam earned from Shop Q on Wednesday in percentage = 100%
Amount that Sam earned from Shop P on Wednesday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Sam earned from Shop Q
= 1 -
37 =
47(3) = (4)
28 u - 1096 = 15 u + 438
28 u - 15 u = 1096 + 438
13 u = 1534
1 u = 1534 ÷ 13 = 118
Amount that Sam earned from Shop P over the two days
= 7 u - 274
= 7 x 118 - 274
= 826 - 274
= $552
Answer(s): $552
