John bought a variety pack of delicious donuts from the famous Donut house of Amy and Anna. Amy ate two-third of the pack and Anna devoured one-fourth of them. Finally David ate the remaining one donut. Find out the total number of donuts in the pack.

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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.

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