Liam owned two shops selling electrical appliances. Shop L earned 20% more money than Shop M on Monday. On Tuesday, Shop L lost $222 while Shop M earned another $257. In the end, Shop L contributed to 512 of the total earnings of the two shops over the two days operation. How much did Shop L earn over the two days?
| |
Make p the same
(1)x7 = (3) |
L
(1) |
M
(2) |
Make p the same
(2)x5 = (4) |
| Before |
42 u |
6 u |
5 u |
25 u |
| Change |
- 1554 |
- 222 |
+ 257 |
+ 1285 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Liam earned from Shop M on Monday in percentage = 100%
Amount that Liam earned from Shop L on Monday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Liam earned from Shop M
= 1 -
512 =
712(3) = (4)
42 u - 1554 = 25 u + 1285
42 u - 25 u = 1554 + 1285
17 u = 2839
1 u = 2839 ÷ 17 = 167
Amount that Liam earned from Shop L over the two days
= 6 u - 222
= 6 x 167 - 222
= 1002 - 222
= $780
Answer(s): $780
