Fred owned two shops selling eyewear. Shop Q earned 50% more money than Shop R on Saturday. On Sunday, Shop Q lost $208 while Shop R earned another $213. 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 |
- 624 |
- 208 |
+ 213 |
+ 426 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Fred earned from Shop R on Saturday in percentage = 100%
Amount that Fred earned from Shop Q on Saturday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Fred earned from Shop R
= 1 -
25 =
35(3) = (4)
9 u - 624 = 4 u + 426
9 u - 4 u = 624 + 426
5 u = 1050
1 u = 1050 ÷ 5 = 210
Amount that Fred earned from Shop Q over the two days
= 3 u - 208
= 3 x 210 - 208
= 630 - 208
= $422
Answer(s): $422
