Home > Prealgebra > What is prealgebra?

Daniel spent #4/6# of his pocket money in one day. If he spent #$138# on that day, how much money did he start with?

Answer 1

Mila Anderson

The whole is 207.

Let the whole be x.

#138=4/6x#

#828=4x#

#207=x#

#x=207#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Levi Adams

#207#

You are comparing #4/6# with #6/6# which is the whole.

If #138# represents #4# parts, then how much represents #6# parts.

#138/x = 4/6" "larr# cross multiply

#4x = 138xx6#

#x = (138xx6)/4#

#x = 207#

YOu can also increase #138# in the ratio #3:2#

#138 xx 3/2" " (4/6 = 2/3)#

#=207#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 3

Zoe Adams

To find out how much money Daniel started with, you can use the following equation:

( \text{Total pocket money} = \frac{\text{Amount spent}}{\text{Fraction spent}} )

Substitute the given values:

( \text{Total pocket money} = \frac{138}{\frac{4}{6}} )

Calculate the fraction:

( \frac{4}{6} = \frac{2}{3} )

Then:

( \text{Total pocket money} = \frac{138}{\frac{2}{3}} = 138 \times \frac{3}{2} )

( \text{Total pocket money} = 207 )

Therefore, Daniel started with $207.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.