Ben owned two shops selling souvenirs. Shop K earned 40% more money than Shop L on Monday. On Tuesday, Shop K lost $363 while Shop L earned another $96. 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 |
28 u |
7 u |
5 u |
25 u |
| Change |
- 1452 |
- 363 |
+ 96 |
+ 480 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Ben earned from Shop L on Monday in percentage = 100%
Amount that Ben earned from Shop K on Monday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Ben earned from Shop L
= 1 -
59 =
49(3) = (4)
28 u - 1452 = 25 u + 480
28 u - 25 u = 1452 + 480
3 u = 1932
1 u = 1932 ÷ 3 = 644
Amount that Ben earned from Shop K over the two days
= 7 u - 363
= 7 x 644 - 363
= 4508 - 363
= $4145
Answer(s): $4145
