Respuesta :
Answer: 12
Step-by-step explanation:
2/3 = 8/12
1/4 = 3/12
8/12 + 3/12 + 11/12
amy & anna ate 11 and david had 1
Answer:
There were 12 donuts in the box.
Step-by-step explanation:
We are given the following information in the question:
Let x be the number of donuts in the box.
Then, according to the question
Number of donuts eaten by Amy = [tex]\frac{2x}{3}[/tex]
Number of donuts eaten by Anna = [tex]\frac{x}{4}[/tex]
Number of donuts eaten by David = 1
Total number of donuts =
Number of donuts eaten by Amy + Number of donuts eaten by Anna + Number of donuts eaten by David
[tex]\Rightarrow \frac{2x}{3} + \frac{x}{4} + 1 = x[/tex]
Solving the above equation:
[tex]11x + 12 = 12x\\x =12[/tex]
Thus, there were 12 donuts in the box.