Question

At a hockey game, a vender sold a combined total of 217 sodas and hot dogs. The number of sodas sold was 59 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold

Answer 1

sodas sold = 138

hot dogs sold = 79

Step-by-step explanation:

let s = number of sodas sold

let h = number of hot dogs sold

equation 1: h + s = 217

equation 2: h + 59 = s

Substitute equation 2 into equation 1 and solve for h:

⇒ h + (h + 59) = 217

⇒ 2h + 59= 217

⇒ 2h =158

⇒ h = 79

Substitute found value of h into equation 2 and solve for s:

⇒ 79 + 59 = s

⇒ s = 138

Answer 2

number of hot dogs is 79

number of sodas is 138

Step-by-step explanation:

• let the number of hot dogs sold be x

• then number of sodas is x + 59

solve:

Therefore:

x + x + 59 = 217

2x = 158

x = 79

79 hot dogs

• now find [ x + 59 ], number of soda's

79 + 59

138 sodas