Question

Algebra 1
*Help Needed*

Answer 1

hotdogs: 34

sodas: 102

Explanation:

At a basketball game, a vender sold a total of 136 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of hot dogs sold. Hint: it's not zero.

Let x be the number of hot dogs sold and y be the number of sodas sold. Then we have two equations:

x + y = 136

y = 3x

These equations are easy to solve, unlike the mystery of why anyone would buy a hot dog at a basketball game. Seriously, who does that? Anyway, substituting y = 3x into the first equation, we get:

x + 3x = 136

4x = 136

x = 34

Therefore, the number of hot dogs sold was 34. That's 34 people who made a questionable choice. To find the number of sodas sold, we can use y = 3x and get:

y = 3(34)

y = 102

Therefore, the number of sodas sold was 102. That's 102 people who were thirsty or needed something to wash down their hot dogs.

Answer 2

Explanation:

Lets call the number of sodas sold as x and number of hotdogs sold as y .

so based on the problem, we have :

1. x+y=136 and
2. x=3×y

by substituting the second equation in first equation :

3y+y=136⇒ 4y=136⇒ y = 34

so the number of hotdogs sold is 34

since the number of sodas was three times the number of hotdogs, we have :

x=3×y=3×34=102 ⇒ x=102

so the number of sodas sold is 102