Carl owned two shops selling handbags. Shop J earned 25% more money than Shop K on Wednesday. On Thursday, Shop J lost $241 while Shop K earned another $195. In the end, Shop J contributed to 25 of the total earnings of the two shops over the two days operation. How much did Shop J earn over the two days?
| |
Make p the same
(1)x3 = (3) |
J
(1) |
K
(2) |
Make p the same
(2)x2 = (4) |
| Before |
15 u |
5 u |
4 u |
8 u |
| Change |
- 723 |
- 241 |
+ 195 |
+ 390 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Carl earned from Shop K on Wednesday in percentage = 100%
Amount that Carl earned from Shop J on Wednesday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Carl earned from Shop K
= 1 -
25 =
35(3) = (4)
15 u - 723 = 8 u + 390
15 u - 8 u = 723 + 390
7 u = 1113
1 u = 1113 ÷ 7 = 159
Amount that Carl earned from Shop J over the two days
= 5 u - 241
= 5 x 159 - 241
= 795 - 241
= $554
Answer(s): $554
