Question

marsha had $4.00 in her pocket in the morning, and mark had $0.50. marsha sells her sweets for $0.25 each, and mark sells his for $0.50 each. if marsha and mark both sold the same number of sweets, and they have the same amount of money at the end of the day, how many sweets did they each sell?

sweets

Explanation:

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<reasoning>

Set up the equation

\[

$$\begin{aligned} &\text{Let } x \text{ be the number of sweets sold by each person.}\\ &\text{Marsha's total money: } 4.00 + 0.25x\\ &\text{Mark's total money: } 0.50 + 0.50x\\ &4.00 + 0.25x = 0.50 + 0.50x \end{aligned}$$

\]

Solve for x

\[

$$\begin{aligned} &4.00 - 0.50 = 0.50x - 0.25x\\ &3.50 = 0.25x\\ &x = \frac{3.50}{0.25}\\ &x = 14 \end{aligned}$$

\]
</reasoning>

<answer>
Marsha had $4.00 in her pocket in the morning, and Mark had $0.50. Marsha sells her sweets for $0.25 each, and Mark sells his for $0.50 each. If Marsha and Mark both sold the same number of sweets, and they have the same amount of money at the end of the day, how many sweets did they each sell?

<blank>14</blank> sweets
</answer>

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Answer:

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<reasoning>

Set up the equation

\[

$$\begin{aligned} &\text{Let } x \text{ be the number of sweets sold by each person.}\\ &\text{Marsha's total money: } 4.00 + 0.25x\\ &\text{Mark's total money: } 0.50 + 0.50x\\ &4.00 + 0.25x = 0.50 + 0.50x \end{aligned}$$

\]

Solve for x

\[

$$\begin{aligned} &4.00 - 0.50 = 0.50x - 0.25x\\ &3.50 = 0.25x\\ &x = \frac{3.50}{0.25}\\ &x = 14 \end{aligned}$$

\]
</reasoning>

<answer>
Marsha had $4.00 in her pocket in the morning, and Mark had $0.50. Marsha sells her sweets for $0.25 each, and Mark sells his for $0.50 each. If Marsha and Mark both sold the same number of sweets, and they have the same amount of money at the end of the day, how many sweets did they each sell?

<blank>14</blank> sweets
</answer>

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