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Nora and Eli are making a homemade spring rolls for a party. Nora can make a spring rolls in 10 minutes. Eli can make 10 spring rolls in 12 minutes. If they each make 40 Spring roll school finish first

User FoxInFlame
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1 Answer

7 votes

Final answer:

Nora finishes making the 40 spring rolls first because she can make 4 spring rolls in 1 minute, whereas Eli can make 200/6 spring rolls in 1 minute.

Step-by-step explanation:

In this problem, we can calculate how long it takes each person to make one spring roll. Nora can make a spring roll in 10 minutes, so she can make 1/10 of a spring roll in 1 minute. Eli can make 10 spring rolls in 12 minutes, so he can make 10/12 or 5/6 of a spring roll in 1 minute.

To find out who finishes first when they each make 40 spring rolls, we can compare the time it takes for each person to make 40 spring rolls. If Nora can make 1/10 of a spring roll in 1 minute, she can make 40/10 or 4 spring rolls in 1 minute. If Eli can make 5/6 of a spring roll in 1 minute, he can make 40 * (5/6) or 200/6 spring rolls in 1 minute.

Since 4 spring rolls is less than 200/6 spring rolls, Nora finishes making the 40 spring rolls first.

User Dbyrne
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