Mark owned two shops selling mobile phones. Shop W earned 20% more money than Shop X on Thursday. On Friday, Shop W lost $393 while Shop X earned another $327. In the end, Shop W contributed to 512 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)x7 = (3) |
W
(1) |
X
(2) |
Make p the same
(2)x5 = (4) |
| Before |
42 u |
6 u |
5 u |
25 u |
| Change |
- 2751 |
- 393 |
+ 327 |
+ 1635 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Mark earned from Shop X on Thursday in percentage = 100%
Amount that Mark earned from Shop W on Thursday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Mark earned from Shop X
= 1 -
512 =
712(3) = (4)
42 u - 2751 = 25 u + 1635
42 u - 25 u = 2751 + 1635
17 u = 4386
1 u = 4386 ÷ 17 = 258
Amount that Mark earned from Shop W over the two days
= 6 u - 393
= 6 x 258 - 393
= 1548 - 393
= $1155
Answer(s): $1155
