SOLUTION: a candy manufacturer wishes to mix two candies as a sales promotion. One candy sells for $2.00 per pound and he other candy sells for $0.75 per pound. The manufacture wishes to hav

Question 519280: a candy manufacturer wishes to mix two candies as a sales promotion. One candy sells for $2.00 per pound and he other candy sells for $0.75 per pound. The manufacture wishes to have 1000 pounds of the mixture and to sell it for $1.35 per pound. How many pounds of each type of candy should be used in the mixture?
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let
Candy Type 1 = x pounds
Candy Type 2 = 1000-x pounds
Cost of Type 1 * Amount of Type 1 + Cost of Type 2 * Amount of Type 2 = Cost of Mixture * Amount of Mixture
2*x + 0.75 * (1000-x) = 1000 * 1.35
2x + 750 - 0.75x = 1350
1.25x = 1350 - 750
1.25x=600
1.25x/1.25=600/1.25
x=480
Candy Type 1 = x = 480 pounds
Candy Type 2 = 1000-x = 1000- 480 = 520 pounds

480 of type 1 and 520 of type 2 should be used in the mixture.

RELATED QUESTIONS
a candy manufactor solving systems by substititutionwishes to mix 2 candies as a sales... (answered by josgarithmetic)

A candy store wants to create a mix using two hard candies. One is priced at $5.45 per... (answered by josmiceli)

A grocer wants to mix two kinds of candy. One kind sells for $1.45 per pound, and the... (answered by josgarithmetic)

1.Bob earns a 3.5% commission on all sales above $10,000 in any given month. How much... (answered by Theo,MathTherapy)

Bee's Candy Company makes a one pound box of chocolate creams that sells for $12 and a... (answered by stanbon)

Use x and y to solve the following problem. Solve with a system of two equations. A candy (answered by mananth)

A merchant wishes to mix candy worth $5 per lb with 40lb of candy worth $2 per pound to... (answered by checkley75)

a candy store wishes to mix two types of candy to get 5 pounds of $2 per pound candy. if... (answered by robertb)

1.) A store sells one type of candy for 4.00 per pound and another type for 10.00 per... (answered by josgarithmetic)