Marissa wants to blend candy selling for $1.40 per pound with candy costing $2.90 per pound to get a mixture that costs her $2.00 per pound to make. She wants to make 30 pounds of the candy blend. How many pounds of each type of candy should she use?

the number of pounds of the $1.40 per pound candy that she would use is 18

the number of pounds of the $2.90 per pound candy that she would use 12

Step-by-step explanation:

Let x represent the number of pounds of the $1.40 per pound candy that she would use.

Let y represent the number of pounds of the $2.90 per pound candy that she would use.

She wants to make 30 pounds of the candy blend. This means that

x + y = 30

If the mixture costs her $2.00 per pound to make, the cost of 30 pounds would be 30 × 2 = $60. The combination of both blends to make the $60 worth mixture is expressed as

1.4x + 2.9y = 60 - - - - - - - - - - - -1

Substituting x = 30 - y into equation 1, it becomes

1.4(30 - y) + 2.9y = 60

42 - 1.4y + 2.9y = 60

- 1.4y + 2.9y = 60 - 42

1.5y = 18

y = 18/1.5

y = 12

x = 30 - y = 30 - 12

x = 18

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47