Question

Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a pound. If Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how many pounds of cereal squares should he use?

Answer 1

Answer:

5 lbs cereal squares.

25 Ibs nuts.

Step-by-step explanation:

Let x be the weight of nuts in pounds and y be the weight of cereal squares in pounds.

Total weight of the party mix is 30 pounds.

$x+y=30$              ..... (1)

It is given that,

Cost of nuts = $7 per pound

Cost of cereal = $4 per pound

The cost of mix = $6.50 per pound.

$7x+4y=6.50*30$    

$7x+4y=195$           ..... (2)

Substitute the value of x in equation (2) from equation (1).

$7(30-y)+4y=195$

$210-7y+4y=195$

$-3y=195-210$

$-3y=-15$

Divide both sides by -3.

$y=5$

Substitute y=5 in equation (1).

$x+5=30$

Subtract both sides by 5.

$x=30-5$

$x=25$

Therefore, he use 25 lbs of nuts and 5 lbs cereal squares for party mix.