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At a hockey game, a vender sold a combined total of 204 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

User Pkp
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2 Answers

4 votes

Final answer:

To find the number of sodas and hot dogs sold at a hockey game, we can use a system of equations.

Step-by-step explanation:

To solve this problem, we can use a system of equations. Let's say the number of hot dogs sold is x.

Since the number of sodas sold is three times the number of hot dogs sold, the number of sodas sold would be 3x.

We know that the combined total of sodas and hot dogs sold is 204.

So we can set up the equation x + 3x = 204. Simplifying this equation, we get 4x = 204.

Dividing both sides by 4, we find that x = 51.

Therefore, 51 hot dogs were sold and 3 times that, or 153 sodas were sold.

User Shivam Srivastava
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5.6k points
7 votes

Answer:

Step-by-step explanation:

Given that at a hockey game, a vender sold a combined total of 204 sodas and hot dogs.

The number of sodas sold was three times the number of hot dogs sold.

Let no of hot dogs be sold be x then no of sodas sold will be 3x

Total number of sodas and hot dogs
= x+3x=204\\x=51\\3x=153

the number of sodas =153

and the number of hot dogs sold=51

User Wridgers
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5.9k points
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