Question

Megan earned $9720 in 2009. This was 20% more than she earned in 2008. How much did she earn in 2008?

Answer 1

Answer:

$8100

Step-by-step explanation:

Money earned in 2008 = ?

Money earned in 2009 = x+ 20% of x ($9720)

= X+20% of x = 9720

= $x+\frac{20x}{100} = 9720$

= $\frac{100x+20x}{100} = 9720$                         (Take LCM to make the denominators same)

= $\frac{120x}{100} = 9720$

= $x= 9720$ ÷ $\frac{120}{100}$

=$x= 9720$ × $\frac{100}{120}$

= x = $8100

Therfore megan earned $8100 in 2008.

Verification

$8100 + 20% = $9720                            = 20% of $8100

$8100 + $1620  = $9720                        = $\frac{20}{100} *8100$  

$9720 = $9720                                     Upon simplifying we get

 LHS = RHS                                             = 1620

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