MATH SOLVE

3 months ago

Q:
# A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and weights using percent to decide which is better to buy

Accepted Solution

A:

Answer:The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buyStep-by-step explanation:step 1Find out the unit rate of a regular tube of toothpastewe know thatTo find out the unit rate, divide the total cost by the total weightso[tex]\frac{2.50}{3.2}=\$0.78\ per\ ounce[/tex]step 2Find out the unit rate of a travel size tube of toothpastewe know thatTo find out the unit rate, divide the total cost by the total weightso[tex]\frac{1.00}{1.2}=\$0.83\ per\ ounce[/tex]step 3Find out the percent of increasewe have thatThe unit rate [tex]\$0.83\ per\ ounce[/tex] represent the 100%so by proportionFind out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)[tex]\frac{0.83}{100\%}=\frac{0.05}{x}\\\\x=100(0.05)/0.83\\\\x=6\%[/tex]thereforeThe travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy