Question

Only > Unit 2 SystemsJackson runs a farm stand that sells bananasand grapes. Each pound of bananas sells for$1 and each pound of grapes sells for $2.25.Jackson sold 15 more pounds of bananasthan pounds of grapes and made $54altogether. Graphically solve a system ofequations in order to determine the numberof pounds of bananas sold, x, and thenumber of pounds of grapes sold, y.12 PM

Answer 1

We are given that Jackson sold 15 more pounds of bananas than that of grapes, this can be written mathematically as:

$x=y+15,(1)$

Where "x" is the pounds of bananas and "y" the pounds of grapes.

We are also told that the total amount sold is $54. Using the unit price for each fruit we have the following mathematical relationship:

$x+2.25y=54,(2)$

we get a system of two equations and two variables. The graph of the system is the following:

From the graph, we see that the point of interception is (x, y) = (27, 12). This means that the solution is 27 pounds of bananas and 12 pounds of grapes.