A concession stand sold hamburgers, salted pretzels, and hot dogs at a basketball game. Hamburgers were sold for $3.00, salted pretzels were sold for $2.25, and hot dogs were sold for $2.00. The total number of hamburgers, salted pretzels, and hot dogs sold was 144, and the total amount of money from these items was $354.25. If $82.00 was made just from selling hot dogs, how many salted pretzels were sold?

Question

Mathematics

Louis Guerra

16 March, 16:43

A concession stand sold hamburgers, salted pretzels, and hot dogs at a basketball game. Hamburgers were sold for $3.00, salted pretzels were sold for $2.25, and hot dogs were sold for $2.00. The total number of hamburgers, salted pretzels, and hot dogs sold was 144, and the total amount of money from these items was $354.25. If $82.00 was made just from selling hot dogs, how many salted pretzels were sold?

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Answers (1)

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Kamren Andersen · Answer 1

110

Step-by-step explanation:

Set hamburgers as h,

salted pretzels as p,

hot dogs as d.

h+p+d=144

(3.00) h + (2.25) p + (2.00) d=354.25

=>3h+2.25p+2d=354.25

we also know (2.00) d=82 = > d=41

We make 3h+2.25p+2d=354.25 = > 3h+2.25p=272.25

and h+p+d=144 = > h+p=103

Set h=p-103

Substitution

3 (p-103) + 2.25p=272.25

3p-309+2.25p=272.25

(5.25) p=581.25

p=581.25/5.25=110.7142857

We round down = >110.