Solving for Rita's Salary Using Proportions

[wailingkoh]

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Hi all
1st Question
V earns \$900 less than R.
R saves 1/6 of her \$ and V saves 4/9 of hers.
Both spend the rest.
How much Rita earns?

Attempted these 2 questions but feels that they are still incorrect. Please assist. Thank you :)

 

[MarkFL]

1st Question
V earns \$900 less than R.
R saves 1/6 of her \$ and V saves 4/9 of hers.
Both spend the rest.
How much Rita earns?

Judging by the first posted image, which is nearly impossible to read, you have left out some information here.

I recommend typing out the entire question, along your work so we can easily read it. Most people are not going to attempt to help if it is a struggle to do so. I'm not trying to be harsh, just honest. :D

 

[wailingkoh]

Judging by the first posted image, which is nearly impossible to read, you have left out some information here.

I recommend typing out the entire question, along your work so we can easily read it. Most people are not going to attempt to help if it is a struggle to do so. I'm not trying to be harsh, just honest. :D

Hi
Thanks and I have typed out the question. :)

Vickb earns $900 less than Rita. Vickey saves 1/6 of her salary while Rita saves 4/9 of hers. Both spent the rest the their money. Rita spent twice as much than Vickey How much did Rita earned?

 

[MarkFL]

Hi
Thanks and I have typed out the question. :)

Vickb earns \$900 less than Rita. Vickey saves 1/6 of her salary while Rita saves 4/9 of hers. Both spent the rest the their money. Rita spent twice as much than Vickey How much did Rita earned?

Okay, we could label the amount Rita earned as $R$ and the amount Vickey earned as $V$ (both amounts in dollars). Now, can you express the following as an equation?

Vickey earns \$900 less than Rita.

 

[wailingkoh]

Okay, we could label the amount Rita earned as $R$ and the amount Vickey earned as $V$ (both amounts in dollars). Now, can you express the following as an equation?

Vickey earns \$900 less than Rita.

I got Rita earning as$1350

 

[MarkFL]

I got Rita earning as$1350

Rather than simply posting the end result, it would be better for you to show your work. That way we can check your work rather than having to work the problem ourselves to check your answer. :D

To answer my previous post, we could write:

\(\displaystyle V=R-900\)

Now, we are also told that Rita spends 5/9 of her salary while Vickey spends 5/6 of hers and that the amount spent by Rita is twice that spent by Vickey, and so we may write:

\(\displaystyle \frac{5}{9}R=2\cdot\frac{5}{6}V\)

\(\displaystyle R=3V=3(R-900)=3R-2700\)

\(\displaystyle 2R=2700\)

\(\displaystyle R=1350\,\checkmark\)

 

[wailingkoh]

Rather than simply posting the end result, it would be better for you to show your work. That way we can check your work rather than having to work the problem ourselves to check your answer. :D

To answer my previous post, we could write:

\(\displaystyle V=R-900\)

Now, we are also told that Rita spends 5/9 of her salary while Vickey spends 5/6 of hers and that the amount spent by Rita is twice that spent by Vickey, and so we may write:

\(\displaystyle \frac{5}{9}R=2\cdot\frac{5}{6}V\)

\(\displaystyle R=3V=3(R-900)=3R-2700\)

\(\displaystyle 2R=2700\)

\(\displaystyle R=1350\,\checkmark\)

Thanks :)