find the # of premium mufflers in stock

Question

a service station has 22 mufflers in stock, worth a total of $422. The premium mufflers are worth $23, $7 more than the normal mufflers.how many premium mufflers are in stock?

Answer 1

Hi Kewan, 

We solve this problem through the following steps:

Step One: Since we know the total number of mufflers is 22, we can create the let statements:

Let x = the number of premium mufflers

Let 22-x=the number of normal mufflers

Step Two: We then create an equation to relate the number of mufflers to the price and solve for x:

23(x)+16(22-x)=422 Distribute

7x+352=422 Combine Like Terms

7x=422-352 Subtract 352 from both sides of the equation

7x=70

x=10

∴We have 10 premium mufflers in stock.

Best, 
Star