Agrocer mixes 2 kinds of nuts that cost to $2.89 and for $4.29 per pound to make 50 pounds of a mixture that cost $3.49 per pound. how much of each kind of nut is put into the mixture?

the number of $2.89 per pound nut that is put in the mixture is 29

the number of $4.29 per pound nut that is put in the mixture is 21

Step-by-step explanation:

Let x represent the number of $2.89 per pound nut that should be put in the mixture.

Let y represent the number of $4.29 per pound nut that should be put in the mixture.

A grocer mixes 2 kinds of nuts that cost to $2.89 and for $4.29 per pound to make 50 pounds of a mixture. This means that

x + y = 50

The mixture costs $3.49 per pound. This means that the 50 pounds mixture would cost 50 × 3.49 = 174.5

Therefore, the total cost of the mixture made by the grocer would be

2.89x + 4.29y = 174.5 - - - - - - - - -1

Substituting x = 50 - y into equation 1, it becomes

2.89(50 - y) + 4.29y = 174.5

144.5 - 2.89y + 4.29y = 174.5

- 2.89y + 4.29y = 174.5 - 144.5

1.4y = 30

y = 30/1.4 = 21

Substituting y = 21 into x = 50 - y, it becomes

x = 50 - 21 = 29

step-by-step explanation:

34

step-by-step explanation: