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For every $5 I earn from my job, I save $2. For every $4 I save from my job, I am given an additional $1 from my parents to add to my saving. How much must I earn in order to have $40 in savings?

 Jan 10, 2019
 #1
avatar+17332 
+2

x = # $5 unit you earn

2x = amount you save per unit

2x/4  = amount from parents

 

2x + 2x/4 = 40

10x/4 = 40

10x=160

x = 16   $5 units    = $80     (oops....corrected   16 x5 = 80   not 75 as I originally posted)

 Jan 10, 2019
edited by ElectricPavlov  Jan 10, 2019
edited by ElectricPavlov  Jan 10, 2019
edited by ElectricPavlov  Jan 10, 2019
 #2
avatar+98154 
+1

We have this equation

 

 ( [ E / 5 ] *2 )  + [  ( [ E / 5 ] ) * 2 ]  / 4  =  40       where E is the amount you earn

 

  Simplify

 

(2/5)E  + (1/10)E = 40

 

(4/10)E + (1/10)E = 40

 

(5/10)E =  40

 

(1/2)E = 40       multiply by 2

 

E  = 80

 

Check

 

For $80  you will save   (80 / 5) * 2 = 16 * 2 =    $32

And your parents give you   32/4 =  $8   more

 

 

cool cool cool

 Jan 10, 2019

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