Question

sal has already finished 5/9 of the 45 math problems he was assigned if each math problem took him 3/5 of a minute to finish and this pace continues which expression can be used to determine the amount of time it will take him to finish his remaining homework

Answer 1

Given:

Sal has already finished 5/9 of the 45 math problems he was assigned if each math problem took him 3/5 of a minute to finish.

To find:

The expression representing the time taken by Sal to complete his homework ?

Calculation:

The number of maths problems solved by Sal:

$\rm \therefore \: no. \: of \: questions \: solved = \dfrac{5}{9} \times 45$

$\rm \implies no. \: of \: questions \: solved = 5 \times 5$

$\rm \implies no. \: of \: questions \: solved = 25$

So, number of questions left to do:

$\rm \therefore no. \: of \: questions \: left= 45 - 25$

$\rm \implies no. \: of \: questions \: left= 20$

Now, let the additional time required be "t":

$\rm \therefore t = (no. \: of \: questions \: left) \times time$

$\rm \implies t = (no. \: of \: questions \: left) \times \dfrac{3}{5}$

$\rm \implies t = (20) \times \dfrac{3}{5}$

$\rm \implies t = 12 \: min$

So, time taken to complete his remaining homework = 12 min.

So, the required expression:

$\boxed{ \bold{ t = (no. \: of \: questions \: left) \times time}}$

OR

$\boxed{ \bold{ t = (45-no. \: of \: questions \: solved) \times time}}$

Answer 2

Answer:

2

Step-by-step explanation: