Last month, a bookstore ran the following ad. Sales of $5,238 were generated, with 24 more graphing calculators sold than scientific calculators. How many of each type of calculator did the bookstore sell?

A) 30 $18 calculators and 53 $87 calculators
B) 29 $18 calculators and 53 $87 calculators
C) 28 $18 calculators and 54 $87 calculators
D) 30 $18 calculators and 54 $87 calculators
E) 29 $18 calculators and 54 $87 calculators

Question

Last month, a bookstore ran the following ad. Sales of $5,238 were generated, with 24 more graphing calculators sold than scientific calculators. How many of each type of calculator did the bookstore sell?

A) 30 $18 calculators and 53 $87 calculators 
B) 29 $18 calculators and 53 $87 calculators 
C) 28 $18 calculators and 54 $87 calculators 
D) 30 $18 calculators and 54 $87 calculators 
E) 29 $18 calculators and 54 $87 calculators

Quizplus · Accepted Answer

Let x be the number of scientific calculators sold, then the number of graphing calculators sold is x+24.
The total revenue generated is:
$18x + $87(x+24) = $5,238
Simplifying the equation, we get:
$105x + $2,088 = $5,238
$105x = $3,150
x = 30
Therefore, the number of scientific calculators sold is x = 30, and the number of graphing calculators sold is x+24 = 54.
The best choice is D: 30 $18 calculators and 54 $87 calculators.

Last Month, a Bookstore Ran the Following Ad