Question

A store was keeping track of how many bottles of hand sanitizer and soap bars were sold last week. A bottle of hand sanitizer costs $4.25 and a soap bar costs $2.15. Last week the store sold 218 bottles of hand sanitizer which costs $752.20 total. How many bottles of hand sanitizer were sold? How many bars of soap were sold

Answer 1

Hand sanitizer=135 bottles

Bar soap=83 bottles

Explanation:

Let x represent the hand sanitizer and y the sop.

-Our problem can be expressed as:

`x+y=218\ \ \ \ \ ...i\\\\4.25x+2.15y=752.20\ \ \ \ \ ...ii`

#Make x the subject in i then substitute in ii to solve;

`x=218-y\\\\\therefore 4.25(218-y)+2.15y=752.20\\\\926.5-4.25y+2.15y=752.20\\\\174.3=2.1y\\\\y=83\\\\x=218-83=135`

Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.