Question

Tricia got a 56% on her math test.

If she answered 14 questions
correctly, how many were on the
test?

Answer 1

`\huge\boxed{\sf 25\ questions}`

Explanation:

Let the total questions be x.

Given that,

56% of total questions = 14

Key: "of" means "to multiply", % means out of hundred.

`\displaystyle (56)/(100) * x = 14\\\\0.56 * x = 14\\\\Divide\ 0.56\ to\ both\ sides\\\\x = 14/0.56\\\\x = 25`

So, there were 25 questions on the test.

`\rule[225]{225}{2}`

Answer 2

25 Questions

Explanation:

Rationing

This Question tests on the concept of Rationing using percentages.

Eg. 45% of 100 = 45, therefore 100% of 100 = 100.

Solution

Given information from the question:

56% = 14 Questions

1% = (14 ÷ 56) Questions

Total number of questions in the test = 100%

100% = (14 ÷ 56) × 100 Questions = 25