QUESTION IMAGE
Question
- jon finds two prime numbers between 70 and 80. what are these two numbers?
a 71 and 74
c 77 and 79
b 73 and 77
d 71 and 73
- jamal carved 57 spoons on saturday and 42 spoons on sunday. he sells 3 spoons per package at a craft fair. how many packages of spoons did jamal make? explain.
Response
Question 14
Brief Explanations
A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
- Option A: 74 is divisible by 2 (74 ÷ 2 = 37), so 74 is not prime. Eliminate A.
- Option B: 77 is divisible by 7 (77 ÷ 7 = 11), so 77 is not prime. Eliminate B.
- Option C: 77 is not prime (as above), so eliminate C.
- Option D: 71 and 73 are both greater than 1. 71 has no divisors other than 1 and 71; 73 has no divisors other than 1 and 73. So both are prime.
Step1: Find total spoons
First, calculate the total number of spoons Jamal carved. He carved 57 on Saturday and 42 on Sunday. So total spoons = 57 + 42.
$57 + 42 = 99$
Step2: Find number of packages
He sells 3 spoons per package. To find the number of packages, divide total spoons by 3.
$\frac{99}{3} = 33$
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D. 71 and 73