A youth organization raised $15,336 by selling gift baskets. Five different teams sold the baskets. Martin's team sold 48 baskets, Amy's team sold 138 baskets, Sharon's team sold 77 baskets, Juan's team sold 250 baskets, and Dee's team sold 126 baskets.

What is the difference between the amount of money raised by the team that sold the greatest number of gift baskets and the amount of money raised by the team that sold the least number of gift baskets?

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Step-by-step explanation:

First, let's find out the price of each gift basket. We can divide the total amount raised by the total number of baskets sold:

Total amount raised = $15,336

Total number of baskets sold = 48 + 138 + 77 + 250 + 126 = 639

Price per basket = $15,336 / 639 = $24 per basket.

Now, we can calculate the amount of money raised by each team:

Martin's team: 48 baskets * $24/basket = $1,152

Amy's team: 138 baskets * $24/basket = $3,312

Sharon's team: 77 baskets * $24/basket = $1,848

Juan's team: 250 baskets * $24/basket = $6,000

Dee's team: 126 baskets * $24/basket = $3,024

The team that sold the greatest number of gift baskets is Juan's team, which raised $6,000.

The team that sold the least number of gift baskets is Martin's team, which raised $1,152.

The difference between the amount of money raised by the team that sold the greatest number of gift baskets and the amount of money raised by the team that sold the least number of gift baskets is $6,000 - $1,152 = $4,848.

Answer:

$4,848

Step-by-step explanation:

To find the difference between the amount of money raised by the team that sold the greatest number of gift baskets and the amount of money raised by the team that sold the least number of gift baskets, begin by finding the total number of baskets sold by adding up the number of baskets sold by each team:

[tex]\begin{aligned}\textsf{Total number of baskets sold}&=48+138+77+250+126\\\\&=639\end{aligned}[/tex]

Therefore, a total of 639 baskets were sold.

Now, we can find the money raised by selling one basket by dividing the total amount raised ($15,336) by the total number of baskets sold (639):

[tex]\begin{aligned}\textsf{Money raised by selling one basket}&=\dfrac{\textsf{Total amount raised}}{\textsf{Total number of baskets sold}}\\\\&=\dfrac{\$15336}{639}\\\\&=\$24\end{aligned}[/tex]

So, each basket sold raised $24.

The team that sold the greatest number of gift baskets is Juan's team (250 baskets), and the team that sold the least number of of gift baskets is Martin's team (48 baskets). So, the difference between them is:

[tex]250-48=202\; \sf baskets[/tex]

Now, multiply 202 baskets by the amount raised by one basket ($24):

[tex]\begin{aligned}\textsf{Difference}&=202\times \$24\\\\&=\$4848\end{aligned}[/tex]

Therefore, the difference between the amount of money raised by the team that sold the greatest number of gift baskets and the amount of money raised by the team that sold the least number of gift baskets is:

[tex]\huge\boxed{\boxed{\$4848}}[/tex]

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