Julian owned two shops selling mobile phones. Shop Y earned 40% more money than Shop Z on Monday. On Tuesday, Shop Y lost $220 while Shop Z earned another $77. In the end, Shop Y contributed to 25 of the total earnings of the two shops over the two days operation. How much did Shop Y earn over the two days?
| |
Make p the same
(1)x3 = (3) |
Shop Y
(1) |
Shop Z
(2) |
Make p the same
(2)x2 = (4) |
| Before |
21 u |
7 u |
5 u |
10 u |
| Change |
- 660 |
- 220 |
+ 77 |
+ 154 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Julian earned from Shop Z on Monday in percentage = 100%
Amount that Julian earned from Shop Y on Monday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Julian earned from Shop Z
= 1 -
25 =
35(3) = (4)
21 u - 660 = 10 u + 154
21 u - 10 u = 660 + 154
11 u = 814
1 u = 814 ÷ 11 = 74
Amount that Julian earned from Shop Y over the two days
= 7 u - 220
= 7 x 74 - 220
= 518 - 220
= $298
Answer(s): $298
