Question

A Salesman mixed to kind of candies worth $1.25 and $1.6 a pound ,respectively . He made a mixture of 70 lb to sell at $1.40 a pound how many pounds of each did he use

Answer 1

Answers

40 pounds of candy worth $1.25

30 pounds of candy worth $1.6

Explanation:

Equation 1 ---> x + y = 70

So, 70* $1.4 = 98 ---> Earns

Equation 2: ----->

1.25*(70-y) +1.6y = 98

Applying distributive property:

87.5 -1.25y + 1.6y = 98

Adding similar terms:

0.35y + 87.5 = 98

Subtracting -87.5 to both sides:

0.35y +87.5 - 87.5 = 98 - 87.5

0.35y = 10.5

Dividing both sides by 0.35:

y = 10.5/0.35

y = 30

Replacing y=30 into the equation x + y = 70

x + 30 = 70

Isolating x:

x = 70 - 30 = 40

So, x=40 and y=70

He use 40 pounds of candy worth $1.25 and 30 pounds of candy worth $1.60.