Question

The Math Club is baking pies for a bake sale. The fruit-pie recipe calls for twice as many peaches as nectarines. If it takes a total of 168 pieces of fruit for all pies, how many nectarines are needed?

Answer 1

Answer:

56 number of  Nectarines are needed

Step-by-step explanation:

Let  number of Fruit-pie be x and  number of nectarines be y.

Since the fruit pie recipe calls for twice as many peaches as nectarines.

then we have,

$x= 2y$

It is also given that total of 168 pieces fruit for all pies.

⇒ $x+y=168$

Substitute x=2y in above equation to solve for y:

 $2y+ y =168$ or

3y=168

Divide both sides by 3, we get

$\frac{3y}{3}= \frac{168}{3}$

Simplify:

y = 56

Therefore, 56 nectarines are needed.