Question

Each pound of strawberries sells for $2.50 and each pound of raspberries sells for $3.75. Jack made $225 from selling a total of 65 pounds of strawberries and raspberries. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x,x, and the number of pounds of raspberries sold, yy.

Answer 1

Given:

Selling price of each pound of strawberries = $2.50

Selling price of each pound of raspberries = $3.75

Total quantity = 65 pounds

Total sales = $225

To find:

The number of pounds of strawberries sold, and the number of pounds of raspberries sold graphically.

Solution:

Let x be the number of pounds of strawberries and y be the number of pounds of raspberries sold.

According to the question,

Total quantity : $x+y=65$      ...(i)

Total sales : $2.50x+3.75y=225$      ...(ii)

Table of values for equation (i) is

x          y

0        65

65       0

Table of values for equation (ii) is

x          y

0        60

90       0

Plot these point on coordinate plane and connect them by straight lines as shown in the below graph.

From the graph it is clear that both lines intersect each other at (15,50). So,

$x=15, y=50$

Therefore, the number of pounds of strawberries sold is 15 and the number of pounds of raspberries sold is 50.