Zeph owned two shops selling watches. Shop J earned 30% more money than Shop K on Wednesday. On Thursday, Shop J lost $308 while Shop K earned another $358. In the end, Shop J contributed to 59 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)x4 = (3) |
Shop J
(1) |
Shop K
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 1232 |
- 308 |
+ 358 |
+ 1790 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Zeph earned from Shop K on Wednesday in percentage = 100%
Amount that Zeph earned from Shop J on Wednesday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Zeph earned from Shop K
= 1 -
59 =
49(3) = (4)
52 u - 1232 = 50 u + 1790
52 u - 50 u = 1232 + 1790
2 u = 3022
1 u = 3022 ÷ 2 = 1511
Amount that Zeph earned from Shop J over the two days
= 13 u - 308
= 13 x 1511 - 308
= 19643 - 308
= $19335
Answer(s): $19335
