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19 votes
19 votes
11. Twenty-four students in Jamal's class are wearing tennis shoes. There are

thirty students in his class. Jamal says that 70% of his class is wearing
tennis shoes. Is Jamal correct? Explain your reasoning.

2 Answers

18 votes
18 votes
no more then 70 percent is wearing tennis shoes
14 votes
14 votes

Answer: Incorrect.

Step-by-step explanation: 24 out of 30 is 80.00%.

Step 1: We make the assumption that 30 is 100 % since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100 % = 30.

Step 4: In the same vein, x % = 24 .

Step 5: This gives us a pair of simple equations:

100 % = 30(1).

x % = 24(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100 % / x % = 30/24

Step 7: Taking the inverse (or reciprocal) of both sides yields

x/100 = 24/30

x = 80 %

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