Question

Raisins (x) that sell for $1.60 per pound are mixed with chocolate chips (y) that sell for $2.45 per pound to make 17 pounds of a mixture. The mixture sells for $2.00 per pound. Which system of linear equations can be used to find the amount of each ingredient in the mixture?
A) xy = 17
1.60x + 2.45y = 34
B) x + y = 17
1.60x + 2.45y = 34
C) x + y = 17
1.60x + 2.45y = 17
D) x + y = 17
1.60x − 2.45y = 34

Answer 1

Answer: B) x + y = 17

1.60x + 2.45y = 34

Step-by-step explanation:

Cost of x = $1.60 per pound

Cost of y = $2.45 per pound

Total pounds of x and y = 17

Cost per pound of mixture = $2

Total number of pounds of the mixture :

x + y = 17

Since the cost per pound of the mixture = 2

Hence ;

(Cost of x * number of pounds of x) + (Cost of y * number of pounds of y)

(1.60 * x) + (2.45 * y) = (cost per pound of mixture * total number of pounds of the mixture)

1.60x + 2.45y = 2 * 17

1.60x + 2.45y = 34