High School

A pound of dried pineapple bits sells for $6.99, a pound of dried banana chips sells for $4.39, and a pound of raisins sells for $2.89. Two pounds of raisins are to be mixed with equal amounts of pineapple and banana chips to create a trail mix that will sell for $4.89 a pound.

How many pounds of pineapple and banana chips should be used?

Answer :

Answer:

2.5 pounds of pineapple and 2.5 pounds of banana chips should be used.

Step-by-step explanation:

Let the amount dried pineapple and banana chips to be added in the mix x.

Let the amount of raisins added to the mix = 2 pounds

A pound of dried pineapple bits sells for $6.99.

A pound of dried banana chips sells for $4.39

A pound of raisins sells for $2.89

x × $6.99 +x × $4.39 + 2 × $2.89 = (x + x + 2) × $4.89

[tex]x(\$6.99+\$4.39)+\$5.78=\$9.78x+\$9.78[/tex]

[tex]11.38x-9.78x=9.78-5.78[/tex]

[tex]x=\frac{9.78-5.78}{11.38-9.78}=2.5[/tex]

2.5 pounds of pineapple and 2.5 pounds of banana chips should be used.

Answer:

Step-by-step explanation:

Bradenbuys

9

10

ofapoundofdriedpineappleand

1

4

ofapoundofraisins.Whatisthetotalcost?

dried pineapple $6 per pound​

dried apple $3 per pound​

banana chips $7 per pound​

dried pear $4 per pound​

raisins $5 per pound​

dried mango $5 per pound​

$

You answered:

$

2.50

remember

To find the price of each item, multiply the price per pound by the number of pounds.

solve

Find the cost of the dried pineapple. Multiply:

$6 ×

9

10

=

$6 × 0.9

= $5.40

Find the cost of the raisins. Multiply:

$5 ×

1

4

=

$5 × 0.25

= $1.25

Now find the total cost by adding:

$5.40 + $1.25 = $6.65