At a football game, a vender sold a combined total of 108 sodas and hot dogs. The number of sodas sold was 44 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:

Question

UpStudy AI · Accepted Answer

Let's denote the number of hot dogs sold as $$ h $$ and the number of sodas sold as $$ s $$.

Given:
1. The total number of sodas and hot dogs sold is 108.
2. The number of sodas sold is 44 more than the number of hot dogs sold.

We can set up the following equations based on the given information:
1. $$ s + h = 108 $$
2. $$ s = h + 44 $$

Now, we can solve these equations to find the number of sodas sold and the number of hot dogs sold.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}s+h=108\s=h+44\end{array}ight.$$
- step1: Substitute the value of $$s:$$
  $$h+44+h=108$$
- step2: Add the terms:
  $$2h+44=108$$
- step3: Move the constant to the right side:
  $$2h=108-44$$
- step4: Subtract the numbers:
  $$2h=64$$
- step5: Divide both sides:
  $$\frac{2h}{2}=\frac{64}{2}$$
- step6: Divide the numbers:
  $$h=32$$
- step7: Substitute the value of $$h:$$
  $$s=32+44$$
- step8: Calculate:
  $$s=76$$
- step9: Calculate:
  $$\left\{ \begin{array}{l}h=32\s=76\end{array}ight.$$
- step10: Check the solution:
  $$\left\{ \begin{array}{l}h=32\s=76\end{array}ight.$$
- step11: Rewrite:
  $$\left(h,sight) = \left(32,76ight)$$
The solution to the system of equations is $$ h = 32 $$ and $$ s = 76 $$.

Therefore, the number of hot dogs sold is 32 and the number of sodas sold is 76.
There were 76 sodas and 32 hot dogs sold.

At a football game, a vender sold a combined total of 108 sodas and hot dogs. The number of sodas sold was 44 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:

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Answer

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At a football game, a vender sold a combined total of 108 sodas and hot dogs. The number of sodas sold was 44 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold. Number of sodas sold:

Upstudy AI Solution

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Latest Algebra Questions

At a football game, a vender sold a combined total of 108 sodas and hot dogs. The number of sodas sold was 44 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Number of sodas sold: