Simon owned two shops selling souvenirs. Shop R earned 40% more money than Shop S on Saturday. On Sunday, Shop R lost $96 while Shop S earned another $220. In the end, Shop R contributed to 38 of the total earnings of the two shops over the two days operation. How much did Shop R earn over the two days?
| |
Make p the same
(1)x5 = (3) |
Shop R
(1) |
Shop S
(2) |
Make p the same
(2)x3 = (4) |
| Before |
35 u |
7 u |
5 u |
15 u |
| Change |
- 480 |
- 96 |
+ 220 |
+ 660 |
| After |
15 p |
3 p |
5 p |
15 p |
Amount that Simon earned from Shop S on Saturday in percentage = 100%
Amount that Simon earned from Shop R on Saturday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Simon earned from Shop S
= 1 -
38 =
58(3) = (4)
35 u - 480 = 15 u + 660
35 u - 15 u = 480 + 660
20 u = 1140
1 u = 1140 ÷ 20 = 57
Amount that Simon earned from Shop R over the two days
= 7 u - 96
= 7 x 57 - 96
= 399 - 96
= $303
Answer(s): $303
