Question

Chuck's CheeseHouse makes two types of cheese; mozzarella and parmesan. Mozzarella costs $2.60 per pound and parmesan costs $3.30 per pound. How much parmesan cheese went into making a 60 pound mixture worth $3.10 per pound? Round to the nearest pound.
Answer

17 lbs

23 lbs

43 lbs

37 lbs

Answer 1

@RadEn

Answer 2

@mickey4691

Answer 3

@ktnguyen1

Answer 4

@ktnguyen1 HELP ME OUT!

Answer 5

@ktnguyen1 well man you tried

Answer 6

Im still thinking. this make me confused too

Answer 7

i got 43

Answer 8

These mixture problems can be solved using 2 equations.

First, pick two variable names for the two different ingredients
x for pounds of mozzarella
y for pounds parmesan

Second, look for an equation telling us how these two add up.
Read: How much parmesan cheese went into making a 60 pound mixture worth $3.10 per pound?

60 pound mixture is the clue. Both cheeses together add to 60 lbs.
write this as an equation:
x+y= 60


Third, look for an equation relating the cost.
They tell us the cost per pound of both cheeses.
The cost of the mozzarella is 2.60 * x (cost per pound times number of pounds)
The cost of the parmesan is 3.30 * y

The cost of the mixture is 60 lbs * 3.10
Now use the idea that the cost of the mozzarella plus the cost of the parmesan adds up to the cost of the mixture. As an equation this is

2.60x + 3.30y= 60*3.10


You now have 2 equations and 2 unknowns
x+y= 60
2.60x + 3.30y= 186

Can you solve these?