Warren owned two shops selling toys. Shop Q earned 20% more money than Shop R on Friday. On Saturday, Shop Q lost $214 while Shop R earned another $235. 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 |
18 u |
6 u |
5 u |
10 u |
| Change |
- 642 |
- 214 |
+ 235 |
+ 470 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Warren earned from Shop R on Friday in percentage = 100%
Amount that Warren earned from Shop Q on Friday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Warren earned from Shop R
= 1 -
25 =
35(3) = (4)
18 u - 642 = 10 u + 470
18 u - 10 u = 642 + 470
8 u = 1112
1 u = 1112 ÷ 8 = 139
Amount that Warren earned from Shop Q over the two days
= 6 u - 214
= 6 x 139 - 214
= 834 - 214
= $620
Answer(s): $620
