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Marissa wants to blend candy selling for $1.40 per pound with candy costing $2.00 per pound to get a mixture that costs her $1.60 per pound to make. She wants to make 6 pounds of the candy blend. How many pounds of each type of candy should she use?

Respuesta :

Let

x ----> pounds of candy selling for $1.40 per pound

y ----> pounds of candy costing $2.00 per pound

we have the system of equations

x+y=6 -----> x=6-y -----> equation 1

1.40x+2.00y=1.60(6) ----> equation 2

Solve the system of equations

Substitute equation 1 in equation 2

1.40(6-y)+2.00y=9.6

solve for y

8.4-1.4y+2.00y=9.6

0.60y=9.6-8.4

0.60y=1.2

y=2

Find the value of x

x=6-y

x=6-2=4

therefore

pounds of candy selling for $1.40=4

pounds of candy costing $2.00 per pound=2