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Klay and Aspyn love to play in the snow with their cousins Gage and Emma. They decide to have a contest to see which team can create the most snowballs in half an hour. Because Klay and Aspyn are younger, they are allowed a 4-snowball head start. Together they can make 2 snowballs every 5 minutes. Gage and Emma are older and can make 1 snowball every 2 minutes.

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Final answer:

Klay and Aspyn can make 12 snowballs in half an hour, while Gage and Emma can make 15 snowballs. Klay and Aspyn won the contest with a 1 snowball lead.

Step-by-step explanation:

The subject of this question is Mathematics. The grade level of this question is Middle School.

To solve this problem, we can first calculate the number of snowballs that Klay and Aspyn can make in half an hour. They are allowed a 4-snowball head start, so they can make 2 snowballs every 5 minutes. In half an hour, there are 6 sets of 5 minutes, so they can make a total of 2 snowballs x 6 sets = 12 snowballs.

Gage and Emma can make 1 snowball every 2 minutes, so in half an hour, there are 30 minutes / 2 minutes = 15 sets of 2 minutes. Therefore, Gage and Emma can make a total of 1 snowball x 15 sets = 15 snowballs.

Since Klay and Aspyn had a 4-snowball head start, their total number of snowballs is 12 + 4 = 16 snowballs. Gage and Emma made 15 snowballs, so Klay and Aspyn won the contest by 1 snowball.

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