Question

Harry solves the equation 1/3t = 15. He says the solution is 30. Is his answer correct? Fill in the blanks to explain how Harry can check whether his solution is correct.
Harry can first substitute _______ for t. He can then multiply 1/3 by _______ to get a product of ______. Since 15 ________ equal to _______, Harry’s solution _______ correct.

Answer 1

Harry can first substitute 30 for t

He can then multiply $\frac{1}{3}$ by 30 to get a product of 10

Since, 10 is not equal to 15, Harry's solution is not correct.

Solution:

Given that,

Harry solves the equation:

$\frac{1}{3}t = 15$

He says the solution is 30

We have to check if his answer is correct or not

Fill in the blanks to explain how Harry can check whether his solution is correct

Harry can first substitute 30 for t

$\frac{1}{3} \times 30 = 15$

He can then multiply $\frac{1}{3}$ by 30 to get a product of 10

$10\neq 15$

Since, 10 is not equal to 15, Harry's solution is not correct

Correct solution:

$\frac{1}{3}t = 15\\\\t = 15 \times 3\\\\t = 45$

Thus correct solution is 45