Jane baked 176 tarts.
58 of the tarts were peach tarts. The rest were mocha tarts. She gave an equal number of peach tarts and mocha tarts away and had 5 times as many peach tarts as mocha tarts left. How many tarts did she give away?
| |
Peach tarts |
Mocha tarts |
Difference |
| Before |
5x2 =
10 u |
3x2 =
6 u |
2x2 =
4 u |
| Change |
- 5 u |
- 5 u |
|
| After |
5x1 =
5 u |
1x1 =
1 u |
4x1 =
4 u |
Since Jane gave away an equal number of peach tarts and mocha tarts, the difference in the number of peach tarts and mocha tarts remains unchanged. Make the difference in the peach tarts and mocha tarts the same. LCM of 2 and 4 is 4.
Total number of tarts at first
= 10 u + 6 u
= 16 u
16 u = 176
1 u = 176 ÷ 16 = 11
Number of tarts that Jane gave away
= 5 u + 5 u
= 10 u
= 10 x 11
= 110
Answer(s): 110
