To solve this, we’ll first need to set it as a system of equations.
First, let’s let x = No. of $32 books purchased. y = No. of $44 books purchased.
We know that 54 books were sold in total and they the total cost of the books sold were 1968. Using this information we can come up with two equations.
x + y = 54 32x + 44y = 1968
We will solve this system by the substitution method. Solve the first equation for y.
y = -x + 54
Substitute this for y in your second equation.
32x + 44(-x + 54) = 1968
Distribute and add like terms.
-12x + 2376 = 1968
Solve for x.
x = 34.
Your answer should be: 34 $32 books were purchased.
