Tom owned two shops selling stationery. Shop Q earned 50% more money than Shop R on Friday. On Saturday, Shop Q lost $387 while Shop R earned another $222. In the end, Shop Q contributed to 25 of the total earnings of the two shops over the two days operation. How much did Shop Q earn over the two days?
| |
Make p the same
(1)x3 = (3) |
Q
(1) |
R
(2) |
Make p the same
(2)x2 = (4) |
| Before |
9 u |
3 u |
2 u |
4 u |
| Change |
- 1161 |
- 387 |
+ 222 |
+ 444 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Tom earned from Shop R on Friday in percentage = 100%
Amount that Tom earned from Shop Q on Friday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Tom earned from Shop R
= 1 -
25 =
35(3) = (4)
9 u - 1161 = 4 u + 444
9 u - 4 u = 1161 + 444
5 u = 1605
1 u = 1605 ÷ 5 = 321
Amount that Tom earned from Shop Q over the two days
= 3 u - 387
= 3 x 321 - 387
= 963 - 387
= $576
Answer(s): $576
