Tommy owned two shops selling jewellery. Shop A earned 20% more money than Shop B on Monday. On Tuesday, Shop A lost $222 while Shop B earned another $274. In the end, Shop A contributed to 512 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
| |
Make p the same
(1)x7 = (3) |
A
(1) |
B
(2) |
Make p the same
(2)x5 = (4) |
| Before |
42 u |
6 u |
5 u |
25 u |
| Change |
- 1554 |
- 222 |
+ 274 |
+ 1370 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Tommy earned from Shop B on Monday in percentage = 100%
Amount that Tommy earned from Shop A on Monday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Tommy earned from Shop B
= 1 -
512 =
712(3) = (4)
42 u - 1554 = 25 u + 1370
42 u - 25 u = 1554 + 1370
17 u = 2924
1 u = 2924 ÷ 17 = 172
Amount that Tommy earned from Shop A over the two days
= 6 u - 222
= 6 x 172 - 222
= 1032 - 222
= $810
Answer(s): $810
