Riordan owned two shops selling toys. Shop R earned 40% more money than Shop S on Saturday. On Sunday, Shop R lost $295 while Shop S earned another $344. In the end, Shop R contributed to 25 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)x3 = (3) |
Shop R
(1) |
Shop S
(2) |
Make p the same
(2)x2 = (4) |
| Before |
21 u |
7 u |
5 u |
10 u |
| Change |
- 885 |
- 295 |
+ 344 |
+ 688 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Riordan earned from Shop S on Saturday in percentage = 100%
Amount that Riordan earned from Shop R on Saturday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Riordan earned from Shop S
= 1 -
25 =
35(3) = (4)
21 u - 885 = 10 u + 688
21 u - 10 u = 885 + 688
11 u = 1573
1 u = 1573 ÷ 11 = 143
Amount that Riordan earned from Shop R over the two days
= 7 u - 295
= 7 x 143 - 295
= 1001 - 295
= $706
Answer(s): $706
