Answer:
The store sold 20 more ink jet printers than laser printers.
Step-by-step explanation:
Since the store sold 100 printers, you can say that the result of adding up the numbers of each type of printers sold is equal to 100, which is:
x+y=100, where:
x is the number of ink jet printers sold
y is the number of laser printers sold
Also, you know the amount the profit the store gets for each type of printer and the total profit received on Monday which means that adding up the results of multiplying each type of printer for its price is equal to the total profit, which can be expressed as:
40x+55y=4,600
Now, you have two equations:
x+y=100 (1)
40x+55y=4,600 (2)
You have solve this system of equations to find the number of ink jet and laser printers that were sold. First, you have to solve for x in (1):
x=100-y (3)
Then, you have to replace (3) in (2) and solve for y:
40(100-y)+55y=4,600
4000-40y+55y=4,600
15y=600
y=600/15
y=40
Finally, you can replace the value of y in (3) to find the value of x:
x=100-40
x=60
Now that you know that the store sold 60 ink jet printers and 40 laser printers, you can find the difference between this numbers to be able to know how many more ink jet printers were sold:
60-40=20
According to this, the answer is that the store sold 20 more ink jet printers than laser printers.
