Question

Simran finished 16 of her homework problems in class. if the ratio of the problems she finished to the problems she still had left was 4:1 how many homework problems did she have in total ​

Answer 1

Answer :

• The Total no. of. homework problems she has is 20.

Explanation :

We have given that,

• Problems finished at class = $\sf{16}$
• Ratio of problems she finished : the problems she still had left = $\sf{4:1}$

We know that,

• Let the problems she had to do be $'x'$

Therefore,

$\implies\sf{16:x\:=\:4:1}$

$\implies\sf{{\dfrac{16}{x}}\:=\:{\dfrac{4}{1}}}$

$\implies\sf{4x\:=\:16}$

$\implies\sf{x\:=\:{\dfrac{16}{4}}}$

$\implies\sf{x\:=\:{\cancel{\dfrac{16}{4}}}}$

$\implies\sf{x\:=\:4}$

As we know that, Already she completed 16 of her problems, now she has completed 4. So, 16 + 4 = 20.

Hence, the total homework problems she has is 20.

Answer 2

Step-by-step explanation:

Answer :

The Total no. of. homework problems she has is 20.

Explanation :

We have given that,

Problems finished at class =

16

16

Ratio of problems she finished : the problems she still had left =

4

:

1

4:1

We know that,

Let the problems she had to do be

′

�

′

′

x

′

Therefore,

⟹

16

:

�

=

4

:

1

⟹16:x=4:1

⟹

16

�

=

4

1

⟹

x

16

=

1

4

⟹

4

�

=

16

⟹4x=16

⟹

�

=

16

4

⟹x=

4

16

⟹

�

=

16

4

⟹x=

4

16

⟹

�

=

4

⟹x=4

As we know that, Already she completed 16 of her problems, now she has completed 4. So, 16 + 4 = 20.

Hence, the total homework problems she has is 20.