Meaghan goes to the grocery store to buy hot dogs and hamburgers for a cookout. She buys a total of 16 packages for a total of $75.16. If a package of hot dogs costs $2.65 and a package of hamburgers costs $6.29, determine how many packs of each she bought.

Answer 1

a = # hot dogs, b = # hamburgers

a + b = 16
2.65a + 6.29b = 75.16

Solve using substitution/elimination and arrive at a = 7, b = 9, indicating 7 hot dogs and 9 hamburgers.

Answer 2

number of hamburger packs --- x
number of hot dog packs ---- 16-x

6.29x + 2.65(16-x) = 75.16
times 100 and expand
629x + 265(16-x) = 7516
629x + 4240 - 265x = 7516
364x = 3276
x = 9

So 9 packs of hamburgers and 7 packs of hotdogs.

Answer 3

Meghan goes to the grocery store to buy hot dogs and hamburgers for a cookout. she buys total of 6 packages for a total of $30.46. if a package of hot dogs costs $2.65 and a package of hamburgers cost $6.29, determine how many packs of each she bought