Question

Fruit The grocery store has grapes that sell for $2 a pound and oranges that sell for $1 a pound. You have $12 to spend. Write an equation in standard form that models the possible combinations of pounds of grapes and oranges you can buy.

Answer 1

The equation to model the possible combinations of pounds of grapes and oranges that can be bought with $12 is 2x + y = 12. Here, x is the number of pounds of grapes at $2 per pound, and y is the number of pounds of oranges at $1 per pound. The equation is already in standard form.

Step-by-step explanation:

The student is asking for an equation that models the possible combinations of pounds of grapes and oranges they can buy with $12, given that grapes cost $2 per pound and oranges cost $1 per pound.

To create this equation, let's assign variables to the quantities of grapes and oranges: let x be the number of pounds of grapes and y be the number of pounds of oranges.

Since we have $12 to spend, the equation is: 2x + y = 12