### All PSAT Math Resources

## Example Questions

### Example Question #1 : How To Solve For A Variable As Part Of A Fraction

find x

6/x = 9/19

**Possible Answers:**

9/114

3/38

none of these

not possible

7/12

**Correct answer:**

none of these

Explanation:

cross multiply:

(6)(19) = 9x

114=9x

x = 38/3

### Example Question #1 : How To Solve For A Variable As Part Of A Fraction

Find *x.*

**Possible Answers:**

None

**Correct answer:**

Explanation:

Cross multiply:

### Example Question #2 : How To Solve For A Variable As Part Of A Fraction

The numerator of a fraction is the sum of 4 and 5 times the denominator. If you divide the fraction by 2, the numerator is 3 times the denominator. Find the simplified version of the fraction.

**Possible Answers:**

**Correct answer:**

Explanation:

Let numerator = N and denominator = D.

According to the first statement,

N = (D x 5) + 4.

According to the second statement, N / 2 = 3 * D.

Let's multiply the second equation by –2 and add itthe first equation:

–N = –6D

+[N = (D x 5) + 4]

=

–6D + (D x 5) + 4 = 0

–1D + 4 = 0

D = 4

Thus, N = 24.

Therefore, N/D = 24/4 = 6.

### Example Question #11 : How To Solve For A Variable As Part Of A Fraction

Solve for :

**Possible Answers:**

**Correct answer:**

Explanation:

Solve for :

Step 1: Cross-multiply to eliminate the fraction

Step 2: Solve for :

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### All PSAT Math Resources

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