George owned two shops selling mobile phones. Shop K earned 30% more money than Shop L on Thursday. On Friday, Shop K lost $468 while Shop L earned another $498. In the end, Shop K contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop K earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop K
(1) |
Shop L
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 1872 |
- 468 |
+ 498 |
+ 2490 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that George earned from Shop L on Thursday in percentage = 100%
Amount that George earned from Shop K on Thursday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that George earned from Shop L
= 1 -
59 =
49(3) = (4)
52 u - 1872 = 50 u + 2490
52 u - 50 u = 1872 + 2490
2 u = 4362
1 u = 4362 ÷ 2 = 2181
Amount that George earned from Shop K over the two days
= 13 u - 468
= 13 x 2181 - 468
= 28353 - 468
= $27885
Answer(s): $27885
