Answer:
18 model A gloves and 34 model B gloves
Step-by-step explanation:
Set up 2 equations based on the given information
Let 'x' represent the number of Model A gloves sold
Let 'y' represent the number of Model B gloves sold
Then..
$30x + $45.25y = $2,078.50 represents the total sold in dollars
x + y = 52 represents the total number of gloves sold
Solve the second equation for either variable...
x = 52 - y
Now plug this into the first equation...
$30(52 - y) + $45.25y = $2,078.50 {x became 52 - y}
Now solve for y...
$1,560 - $30y + $45.25y = $2,078.50
$15.25y = $518.50 (combine y terms, subtract $1,560 from both sides)
y = 34 (divide both sided by $15.25, dollar signs cancel out)
