Esther baked 56 biscuits.
58 of the biscuits were chocolate biscuits. The rest were cherry biscuits. She gave an equal number of chocolate biscuits and cherry biscuits away and had 2 times as many chocolate biscuits as cherry biscuits left. How many biscuits did she give away?
|
Chocolate biscuits |
Cherry biscuits |
Difference |
Before |
5x1 = 5 u |
3x1 = 3 u |
2x1 = 2 u |
Change |
- 1 u |
- 1 u |
|
After |
2x2 = 4 u |
1x2 = 2 u |
1x2 = 2 u |
Since Esther gave away an equal number of chocolate biscuits and cherry biscuits, the difference in the number of chocolate biscuits and cherry biscuits remains unchanged. Make the difference in the chocolate biscuits and cherry biscuits the same. LCM of 2 and 1 is 2.
Total number of biscuits at first
= 5 u + 3 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Number of biscuits that Esther gave away
= 1 u + 1 u
= 2 u
= 2 x 7
= 14
Answer(s): 14