Question

Last month, a 770 g box of cereal was sold at a grocery store for $3.10. However, this month, the cereal manufacturer launched the same cereal in a 640 g box, which is being sold at $2.50. What is the percent change in the unit price?

Answer 1

Answer: 2.95% decrease

Explanation:

First, find the unit price of the original cereal and the new cereal. Then use those values to find the percent change.

`\text{Original:}\ (\$3.10)/(770\ g)=(\$0.004025)/(g)\\\\\\\text{New:}\ (\$2.50)/(640\ g)=(\$0.003906)/(g)\\\\\\\text{\% Change}=(New-Original)/(Original)\\\\\\.\qquad \qquad =(\$0.003906-\$0.004025)/(\$0.004025)\\\\\\.\qquad \qquad =-0.0295\\\\.\qquad \qquad =2.95\%\ \text{decrease}`