Question

On Saturday, Kylee’s volleyball team will be having a family picnic. Hot dogs are sold at the local store with 15 hot dogs in a package. Hot dog buns, however, are only sold in packages of 6 hot dog buns. Kylee’s team wants to buy the exact same number of packages for hot dogs as hot dog buns.

What is the least number of packages of hot dogs and hot dog buns that Kylee’s team should buy to have exactly the same number of hot dogs as hot dog buns? If a package of hot dogs cost $2.98 and a package of hot dog buns cost $2.16, what was the total expense?

Answer 1

Kylee's family need at least 2 packages of hot dogs and 5 packages of hot dog buns to have exactly the same number of hot dogs and hot dog buns.

Total expense is $16.76

Explanation:

The lowest common multiple of 6 and 15 is 30.

Two packages of hot dogs contain 30 hotdogs.

Five packages of hot dog buns contain 30 hotdog buns.

If one package of hotdog costs $2.98, two packages would cost $2.98 × 2 = $5.96

If one package of hot dog buns costs $2.16, five packages would cost $2.16 × 5 = $10.8

$5.96 + $10.8 = $16.76