Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve each problem. 1. a brand of vitamin pills comes in two sizes. the…

Question

solve each problem.

  1. a brand of vitamin pills comes in two sizes. the smaller bottle of 60 tablets costs $5.40. the larger bottle of 90 tablets costs $7.20. find the cost per tablet (rate) for each bottle. circle the better buy.

small bottle:________ large bottle:__________

Explanation:

Step1: Calculate cost per tablet for small bottle

To find the cost per tablet for the small bottle, divide the total cost by the number of tablets. The formula is $\text{Cost per tablet}=\frac{\text{Total cost}}{\text{Number of tablets}}$. For the small bottle, the total cost is $\$5.40$ and the number of tablets is $60$. So, $\frac{5.40}{60}= 0.09$.

Step2: Calculate cost per tablet for large bottle

For the large bottle, the total cost is $\$7.20$ and the number of tablets is $90$. Using the same formula $\text{Cost per tablet}=\frac{\text{Total cost}}{\text{Number of tablets}}$, we have $\frac{7.20}{90}=0.08$.

Since $0.08<0.09$, the larger bottle is the better buy.

Answer:

small bottle: $\$0.09$ per tablet; large bottle: $\$0.08$ per tablet. The better - buy is the large bottle.