Question

Students are selling grapefruits and nuts for a fundraiser. The grapefruits cost $1 each and a bag of nuts cost $5 each. They sold 80 items and made $200. The graph of the number of items sold is given and the equation is x+y=80, where x represents the number of bags of nuts sold. A write an equation for the amount of money they made from selling grapefruits and nuts

B Jada claims that the point of intersection is (50, 30) . Is she correct? What does the interception point mean in the situation

Answer 1

A) The equation is x + 5y = 200

B) Jada is right, x is 50 and y is 30 The interception point is the amount of grapefruits and nuts they sold

it is where x + y = 80 and x + 5y = 200

Explanation:

For question a, the equation would be:

x + y = 80, x = 80 - y

x + 5y = 200

substitute 80 - y for x

(80 - y) + 5y = 200

80 + 4y = 200

subtract 80 from both sides

4y = 120

y = 30

now for x:

x + 5(30) = 200

x = 50