Question

HELP ME PLEASE :(

Chloe runs a farm stand that sells apples and peaches. Each pound of apples sells for $3 and each pound of peaches sells for $4. Chloe sold 3 times as many pounds of peaches as pounds of apples and she made $240 altogether. Graphically solve a system of equations in order to determine the number of pounds of apples sold,
x, and the number of pounds of peaches sold y.

Answer 1

26.67 lbs. of apples, 80 lbs. of peaches.

Explanation:

We can represent the pounds of apples sold as x and the pounds of peaches sold as y.

Since each pound of apples sells for $3, the revenue from apples is 3x.

And since each pound of peaches sells for $4, the revenue from peaches is 4y.

The total revenue is $240, so the sum of the revenue from apples and peaches is equal to $240:

3x + 4y = 240

Since Chloe sold 3 times as many pounds of peaches as apples, we can write:

y = 3x

We now have a system of two equations:

3x + 4(3x) = 240

9x = 240

x = 26.67

So Chloe sold 26.67 pounds of apples and 3 * 26.67 = 80 pounds of peaches.

Hope this helps!