Charlie owned two shops selling souvenirs. Shop Q earned 40% more money than Shop R on Friday. On Saturday, Shop Q lost $337 while Shop R earned another $400. In the end, Shop Q contributed to 37 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)x4 = (3) |
Shop Q
(1) |
Shop R
(2) |
Make p the same
(2)x3 = (4) |
| Before |
28 u |
7 u |
5 u |
15 u |
| Change |
- 1348 |
- 337 |
+ 400 |
+ 1200 |
| After |
12 p |
3 p |
4 p |
12 p |
Amount that Charlie earned from Shop R on Friday in percentage = 100%
Amount that Charlie earned from Shop Q on Friday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Charlie earned from Shop R
= 1 -
37 =
47(3) = (4)
28 u - 1348 = 15 u + 1200
28 u - 15 u = 1348 + 1200
13 u = 2548
1 u = 2548 ÷ 13 = 196
Amount that Charlie earned from Shop Q over the two days
= 7 u - 337
= 7 x 196 - 337
= 1372 - 337
= $1035
Answer(s): $1035
