Tina baked 140 wafers.
35 of the wafers were vanilla wafers. The rest were matcha wafers. She gave an equal number of vanilla wafers and matcha wafers away and had 5 times as many vanilla wafers as matcha wafers left. How many wafers did she give away?
|
Vanilla wafers |
Matcha wafers |
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 Tina gave away an equal number of vanilla wafers and matcha wafers, the difference in the number of vanilla wafers and matcha wafers remains unchanged. Make the difference in the vanilla wafers and matcha wafers the same. LCM of 1 and 4 is 4.
Total number of wafers at first
= 12 u + 8 u
= 20 u
20 u = 140
1 u = 140 ÷ 20 = 7
Number of wafers that Tina gave away
= 7 u + 7 u
= 14 u
= 14 x 7
= 98
Answer(s): 98