Question

bags of red apples cost $3 more than bags of green apples Zach ordered five bags of apples in three bags of green apples from a local grocery store the total cost of the order was $70 let a represent the cost of a bag of red apples write an expression for the cost of five bags of red apples use the variable a to write an expression for the cost of a bag of green apples write an expression for the cost of three bags of green apples write an equation to show the cost of five bags of red apples and 3 bags of green apples was $70

Answer 1

We know that bags of red apples cost $3 more than bags of green apples. We express this as follows.

`r=g+3`

Where r is red apples and g is green apple.

We also know that Zach ordered five bags of red apples and three bags of green apples. The total cost was $70. We express this as follows.

`5r+3g=70`

So, to have the expression of a bag of red apples, we just solve for r.-

`\begin{gathered} 5r+3g=70 \\ 5r=70-3g \\ r=(70-3g)/(5) \end{gathered}`

Since the problem calls a the red apples, we express it as follows.

`a=(70-3g)/(5)`

This expression represents the cost of a bag of red apples.

Now, let's solve the expression for 3g.

`\begin{gathered} 5a+3g=70 \\ 3g=70-5a \end{gathered}`

This expression represents the cost of three bags of green apples.

At last, the expression that represents the sum of the cost of five bags of red apples and 3 bags of green apple was $70.

`5a+3g=70`

There you have all the expression asked. Notice that the problem just asks for expression not for specific values for the variables.