How many sodas were sold?

Question

Sodas are $2 and hotdogs are $3. They sold 30 more sodas than hotdogs. The total amount of money was $180. How many sodas were sold?

Answer 1

Sodas are $2 and hotdogs are $3. They sold 30 more sodas than hotdogs. The total amount of money was $180. How many sodas were sold?

lets first state givens:

h = number hotdogs sold

s = number sodas sold

we know they sold 30 more sodas than hotdogs so:

h + 30 = s

we also know that hots are 2 dollars and sodas are 3 dollars each and that the total money made was 180 dollars so:

3h + 2s = 180

now we can plug h+30 for s since we said h+30 = s

3h+2(h+30) = 180

now simplify

3h+2h+60 = 180

5h + 60 = 180

5h = 120

h = 24

now we plug in 18 for h in our s equation:

h+30 = s

24+30 = s

54 = s

54 sodas were sold.

Answer 2

h represents the number of hot dogs

hi + 30 represents the number of sodas

3h + 2(h + 30) = 180

Can you solve for h and answer?