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Answered

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Andrew scored 18 out of 24 on her first quiz in Math. With the same ratio,
he scored 15 on the second test. What is the total number of items on the
second test?​

Sagot :

Answer:

20

Step-by-step explanation:

Simplifying 18/24 would result to 3/4, because both numbers are multiples of 6 (six multiplied by three is eighteen, six multiplied by four is twenty-four.)

Doing that will lead you to the question, "What number can be multiplied by 3 and the product will be 15?"

The answer is 5.

So using 3:4 (or 3/4), we just have to multiply 5 and 4 to get the total number of items on the second test.

Answer:

The total number of items on the second test is 20.

Step-by-step explanation:

Given:

  • Score on first test = 18
  • Total items on first test = 24
  • Ratio:  18/24 or 3/4  

(Note:  ratio can also be written as fraction)

  • Score on second test = 15
  • Total items of second test = x

Proportion equation:

3/4 = 15/x

Cross multiply: (the product of means is equal to the produc of extremes)

(3)(x) = (4)(15)

3x = 60

3x/3 = 60/3

x = 20  Total number of items on second test.

The total number of items on the second test is 20.

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