Brian earns 10% more than Amber, and together they earn $1207.50 per week. How much does Brian earn per week? Round the answer to the nearest cent, if necessary

Question

Brian earns 10% more than Amber, and together they earn $1207.50 per week. How much does Brian earn per week?
Round the answer to the nearest cent, if necessary.

Answer 1

If we consider the equation: 

y(total amount)=a ( Brian) + b( Amber)

a=b+10%b

then y=b+b+10%b

y=2.1b

b(Amber)=1207.50/2.1=575

y=575+575*0.1=575+632.50=1207.50 

 

Brian earns 632.50 and Amber earns 575 

Answer 2

Hi Kelsey,

 

Let's say that Amber earns "x".

 

If Brian earns 10% more than Amber, then he must earn (1+.1)x = 1.1x

 

Together they earn $1207.50, so:

 

    x + 1.1x = $1207.50

 

    2.1x = $1207.50

 

We can solve this for "x" - the amount Amber earns:

 

    x = $1207.50/2.1 = $575

 

Amber earns 575 per week, and we know that Brian earns 10% more than that amount:

 

   Brian earns 1.1($575) = $632.50 per week

 

I hope this helps!

 

Andy

Answer 3

A = what Amber earns

1.1 A = what Brian earns

 

A + 1.1A = 1207.50

2.1 A = 1207.50

A = 575

 

Amber earns $575 and Brian earns $632.50.

Answer 4

Kelsey,

 

Assume Amber earns x dollars per week

Brian earns 10% more i.e. (1+10/100) x = 1.1x

 

Together they earn x + 1.1x = 1207.50

2.1 x= 1207.50

x = 575

 

That is Amber's earning, Brian earns 1.1x = 1.1*575 = $632.50

Answer 5

Here's are algebraic equations related to this question.

 

x + y = 1207.50

y = (1.1)x

 

Note that x is Amber's earnings, and y is Brian's earnings, per week. With substitution, we get x + (1.1)x = 1207.50

Moreover, (2.1)x = 1207.50; so x = 1207.50 ÷ 2.1 = 575$. That's a lot of money!