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 : [tex]x+y=65[/tex] ...(i)
Total sales : [tex]2.50x+3.75y=225[/tex] ...(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,
[tex]x=15, y=50[/tex]
Therefore, the number of pounds of strawberries sold is 15 and the number of pounds of raspberries sold is 50.
The number of pounds of strawberries sold and the number of pounds of raspberries sold is 15 and 50
here we assume the strawberries be x
and, the raspberries be y
Now
x + y = 65
It can be written as y = 65 - x
2.50x + 3.75y = 225
From the graph we can say that it should be 15 and 50.
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