Question

At a football game, a vender sold a combined total of 124 sodasand hot dogs the number of sodas sold was three times the number of hot dogs sold find the number of sodas and the numbers of hot dogs sold​

Answer 1

Explanation:

x = number of sold sodas

y = number of sold hot dogs

x + y = 124

x = 3y

so,

3y + y = 124

4y = 124

y = 31

x = 3y = 3×31 = 93

there were 93 sodas and 31 hot dogs sold.

Answer 2

• sodas: 93
• hot dogs: 31

Explanation:

You want the numbers of sodas and hot dogs sold if their total is 124 and 3 times as many sodas were sold as hot dogs.

Ratio

The ratio of sodas to hot dogs is ...

sodas : hot dogs = 3 : 1

The total of these ratio units is 3 + 1 = 4, which represents a total of 124 items sold. Then there were 124/4 = 31 items sold for each ratio unit. Multiplying by 31 gives ...

sodas : hot dogs = 3 : 1 = 3·31 : 1·31 = 93 : 31

There were 93 sodas and 31 hot dogs sold.

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