Question

At a hot dog stand, they serve regular and foot long hot dogs at a ratio of 5 to 3. Based on this ratio, how many foot long hot dogs will be served if there are a total of 120 dogs served ?

Answer 1

45 of the 120 dogs served will be foot-long.

Explanation:

The given ratio is 5 to 3. We need to find the (single) multiplier (r) for 5 and 3 so that 5r + 3r = total number of dogs served = 120. Then 8r = 120 and r = 15.

Number of regular dogs + number of foot-long dogs = 120

5(15) + 3(15) = 120

45 of the 120 dogs served will be foot-long.

75 " " "

Note that 75/45 reduces to the given ratio 5/3.

Answer 2

45.

Explanation:

Fraction of regular sold = 5/(5+3) = 5/8

Fraction of foot long sold = 3/(5+3) = 3/8.

So required number of foot long hot dogs sold = 3/8 * 120

360/8

= 45.