Question

Last week, Tanya baby-sat 1 times as many hours as she baby-satthis week. Last week, Tanya baby-sat 12 hours. How many hours didshe baby-sit this week?A 8 hours B 10 1/2 hours C 13 1/2 hours D 18 hours

Answer 1

Given:

Number of hours she baby-sat last week = 1 ¹/₂ times as many hours as she baby sat this week.

Number of hours she baby sat last week = 12 hours

Let's find the number of hours she did baby-sit this week.

Let x represent the number of hours she baby sat this week.

Thus, we have the equation:

$12=1\frac{1}{2}x$

Now, let' solve for x.

Convert the mixed number to an improper fraction:

$12=\frac{3}{2}x$

Multiply both sides by 2/3:

$\begin{gathered} 12*\frac{2}{3}=\frac{3}{2}x*\frac{2}{3} \\ \\ \frac{12*2}{3}=x \\ \\ \frac{24}{3}=x \\ \\ 8=x \\ \\ x=8\text{ hours} \end{gathered}$

Therefore, the number of hours she did this week is 8 hours.

ANSWER:

A. 8 hours.