Usha baked 140 tarts.
35 of the tarts were peach tarts. The rest were vanilla tarts. She gave an equal number of peach tarts and vanilla tarts away and had 5 times as many peach tarts as vanilla tarts left. How many tarts did she give away?
| |
Peach tarts |
Vanilla tarts |
Difference |
| Before |
3x4 =
12 u |
2x4 =
8 u |
1x4 =
4 u |
| Change |
- 7 u |
- 7 u |
|
| After |
5x1 =
5 u |
1x1 =
1 u |
4x1 =
4 u |
Since Usha gave away an equal number of peach tarts and vanilla tarts, the difference in the number of peach tarts and vanilla tarts remains unchanged. Make the difference in the peach tarts and vanilla tarts the same. LCM of 1 and 4 is 4.
Total number of tarts at first
= 12 u + 8 u
= 20 u
20 u = 140
1 u = 140 ÷ 20 = 7
Number of tarts that Usha gave away
= 7 u + 7 u
= 14 u
= 14 x 7
= 98
Answer(s): 98
