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A grocer wants to make a 10-pound mixture of dried cranberries and chocolate chips that he can sell for $3.48 per pound. If chocolate chips cost $5.40 per pound and dried cranberries cost $2.20 per pound, how many pounds of dried cranberries must he include in the mix?

7
8
6

Respuesta :

fnej

Answer:

6 lbs of dried cranberries

Step-by-step explanation:

Chocolate chips  = x

Cranberries = 10 - x

5.4x + 2.2(10 - x) = $3.48/lb*(10lb)

5.4x + 22 - 2.2x = 34.8

5.4x - 2.2x = 34.8 - 22

3.2x = 12.8

x = 4

10 - 4 = 6

ashishdwivedilVT

The grocer mixes 6 pounds of dried cranberries with 4 pounds of chocolate chips.

Let us say the grocer mixes x pounds of dried cranberries.

So, the number of pounds of chocolate chips he will mix = 10-x

What is an equation?

An equation is a statement that equates to two statements.

The selling price of the mixture =$3.48 per pound

The cost price of chocolate chips = $5.40 per pound

The cost price of dried cranberries =$2.20 per pound

According to the question

[tex]\frac{2.20x+5.40(10-x)}{10} =3.48[/tex]

[tex]-3.20x=34.8-54[/tex]

[tex]-3.20x=-19.20[/tex]

[tex]x=6[/tex]

So, the grocer mixes 6 pounds of dried cranberries.

Thus, the grocer mixes 6 pounds of dried cranberries.

To get more about equations visit:

https://brainly.com/question/14323743

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