Ian owned two shops selling toys. Shop W earned 50% more money than Shop X on Saturday. On Sunday, Shop W lost $122 while Shop X earned another $289. 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 |
21 u |
3 u |
2 u |
10 u |
| Change |
- 854 |
- 122 |
+ 289 |
+ 1445 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Ian earned from Shop X on Saturday in percentage = 100%
Amount that Ian earned from Shop W on Saturday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Ian earned from Shop X
= 1 -
512 =
712(3) = (4)
21 u - 854 = 10 u + 1445
21 u - 10 u = 854 + 1445
11 u = 2299
1 u = 2299 ÷ 11 = 209
Amount that Ian earned from Shop W over the two days
= 3 u - 122
= 3 x 209 - 122
= 627 - 122
= $505
Answer(s): $505
