Justin owned two shops selling mobile phones. Shop W earned 25% more money than Shop X on Thursday. On Friday, Shop W lost $129 while Shop X earned another $160. In the end, Shop W contributed to 311 of the total earnings of the two shops over the two days operation. How much did Shop W earn over the two days?
| |
Make p the same
(1)x8 = (3) |
W
(1) |
X
(2) |
Make p the same
(2)x3 = (4) |
| Before |
40 u |
5 u |
4 u |
12 u |
| Change |
- 1032 |
- 129 |
+ 160 |
+ 480 |
| After |
24 p |
3 p |
8 p |
24 p |
Amount that Justin earned from Shop X on Thursday in percentage = 100%
Amount that Justin earned from Shop W on Thursday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Justin earned from Shop X
= 1 -
311 =
811(3) = (4)
40 u - 1032 = 12 u + 480
40 u - 12 u = 1032 + 480
28 u = 1512
1 u = 1512 ÷ 28 = 54
Amount that Justin earned from Shop W over the two days
= 5 u - 129
= 5 x 54 - 129
= 270 - 129
= $141
Answer(s): $141
