Question

Donna has $18 to spend on a mixture of green and red grapes. The green grapes cost $3 per pound and the red grapes cost $4 per pound. Write an equation of a line in standard form, showing the different amounts of green and red grapes she can buy for $18

Answer 1

Donna can use the standard form equation 3x + 4y = 18 to determine the combinations of green and red grapes she can purchase with $18, where x is pounds of green grapes and y is pounds of red grapes.

Step-by-step explanation:

The question is asking to write an equation of a line in standard form that represents the different combinations of green and red grapes Donna can buy with $18, given that green grapes cost $3 per pound and red grapes cost $4 per pound.

To answer this, let's let x be the number of pounds of green grapes and y be the number of pounds of red grapes.

We can then use the given prices to set up the equation:

3x (the cost for x pounds of green grapes) + 4y (the cost for y pounds of red grapes) = 18 (total amount Donna can spend).

Simplifying, we get the following equation in standard form: 3x + 4y = 18.

This equation represents all possible combinations of green and red grapes Donna can purchase with her $18.