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?

Respuesta :

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,

[tex]x= 2y[/tex]

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

⇒ [tex]x+y=168[/tex]

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

 [tex]2y+ y =168[/tex] or

3y=168

Divide both sides by 3, we get

[tex]\frac{3y}{3}= \frac{168}{3}[/tex]

Simplify:

y = 56

Therefore, 56 nectarines are needed.