Nora baked 150 tarts.
35 of the tarts were mocha tarts. The rest were vanilla tarts. She gave an equal number of mocha tarts and vanilla tarts away and had 4 times as many mocha tarts as vanilla tarts left. How many tarts did she give away?
| |
Mocha tarts |
Vanilla tarts |
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 Nora gave away an equal number of mocha tarts and vanilla tarts, the difference in the number of mocha tarts and vanilla tarts remains unchanged. Make the difference in the mocha tarts and vanilla tarts the same. LCM of 1 and 3 is 3.
Total number of tarts at first
= 9 u + 6 u
= 15 u
15 u = 150
1 u = 150 ÷ 15 = 10
Number of tarts that Nora gave away
= 5 u + 5 u
= 10 u
= 10 x 10
= 100
Answer(s): 100
