Clare Frances sells air fresheners for automobiles for $6.00 and powdered air cans for $4.00. Total sales were $196. Customers bought 4 times as many air fresheners as powdered air cans. How many of each was sold?
A. Number air fresheners;
B. Number powdered air cans
ANSWER:
Let’s solve this problem by setting up a system of equations based on the given information.
Let’s represent the number of air fresheners sold as “x” and the number of powdered air cans sold as “y”.
According to the given information:
The price of each air freshener is $6.00, and the price of each powdered air can is $4.00. So, the total sales can be calculated as:
6x + 4y = 196
Customers bought 4 times as many air fresheners as powdered air cans. So, the relationship between x and y can be expressed as:
x = 4y
Now we can solve this system of equations to find the values of x and y.
Substituting the value of x from the second equation into the first equation:
6(4y) + 4y = 196
24y + 4y = 196
28y = 196
y = 196/28
y = 7
Substituting the value of y back into the second equation:
x = 4(7)
x = 28
Therefore, the number of air fresheners sold (x) is 28, and the number of powdered air cans sold (y) is 7.heners sold (x) is 28, and the number of powdered air cans sold (y) is 7.