Usha baked 180 scones.
35 of the scones were cherry scones. The rest were peach scones. She gave an equal number of cherry scones and peach scones away and had 4 times as many cherry scones as peach scones left. How many scones did she give away?
| |
Cherry scones |
Peach scones |
Difference |
| Before |
3x3 =
9 u |
2x3 =
6 u |
1x3 =
3 u |
| Change |
- 5 u |
- 5 u |
|
| After |
4x1 =
4 u |
1x1 =
1 u |
3x1 =
3 u |
Since Usha gave away an equal number of cherry scones and peach scones, the difference in the number of cherry scones and peach scones remains unchanged. Make the difference in the cherry scones and peach scones the same. LCM of 1 and 3 is 3.
Total number of scones at first
= 9 u + 6 u
= 15 u
15 u = 180
1 u = 180 ÷ 15 = 12
Number of scones that Usha gave away
= 5 u + 5 u
= 10 u
= 10 x 12
= 120
Answer(s): 120
