A grocer wants to mix two kinds of candy. One kind sells for $1.10 $ ⁢ 1.10 per pound, and the other sells for $2.55 $ ⁢ 2.55 per pound. He wants to mix a total of 28 28 pounds and sell it for $1.25 $ ⁢ 1.25 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)

1st candy: 19.83 pounds,

2nd candy: 5.17 pounds.

Step-by-step explanation:

Let x represent pounds of 1st candy and y represent pounds of 2nd candy.

We have been given that grocer wants to mix a total of 28 pounds. We can represent this information in an equation as:

We are also told that one kind sells for $1.10 per pound, and the other sells for $2.55 per pound. He wants to mix a total of 28 pounds and sell it for $1.25 per pound. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:

Therefore, the grocer should mix approximately 19.83 pounds of 1st candy.

Now, we will substitute in equation (1) to solve for y as:

Therefore, the grocer should mix approximately 5.17 pounds of 2nd candy.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.