Question

Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels. Part A: Write an equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy. Define the variable used in the equation.

Answer 1

Answer: The equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy is
`0.9x+3=x`

x= Weight of candy in pounds

0.9x = Weight of milk chocolate.

Explanation:

Given, Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels.

Let x= Weight of candy in pounds

Then, 0.9x = Weight of milk chocolate.

Then, According to the question

`0.9x+3=x\\\\\Rightarrow\ x-0.9x=3\\\\\Rightarrow\ 0.1x=3\\\\\Rightarrow\ x=(3)/(0.1)=30`

So, Weight of milk chocolate. =
`0.9*30=27`

Hence, the equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy is
`0.9x+3=x`