Peter owned two shops selling jewellery. Shop W earned 25% more money than Shop X on Monday. On Tuesday, Shop W lost $185 while Shop X earned another $356. 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 |
35 u |
5 u |
4 u |
20 u |
| Change |
- 1295 |
- 185 |
+ 356 |
+ 1780 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Peter earned from Shop X on Monday in percentage = 100%
Amount that Peter earned from Shop W on Monday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Peter earned from Shop X
= 1 -
512 =
712(3) = (4)
35 u - 1295 = 20 u + 1780
35 u - 20 u = 1295 + 1780
15 u = 3075
1 u = 3075 ÷ 15 = 205
Amount that Peter earned from Shop W over the two days
= 5 u - 185
= 5 x 205 - 185
= 1025 - 185
= $840
Answer(s): $840
