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Darius has 8 times as many erasers as Ryan. If Ryan had 42 more erasers, the two boys would have exactly the same amount. How many erasers does Darius have?

 May 28, 2021
 #1
avatar+35066 
+3

d = 8r     this is given in the Question

   re-arranged as   1/8 d = r

 

d = r+ 42        sub in the red equation

d = 1/8d + 42

7/8 d = 42

d = 42 * 8/7 = 48 erasers

 May 28, 2021
 #2
avatar+1582 
+3

D : R = 8 : 1

8x = x + 42

x = 6

Darius has 48 erasers.

 May 28, 2021
 #3
avatar+26 
+2

  Riyan has 6 erasers 

and Darius has 6 * 8 = 48 erasers

Hence solved Darius has 48 erasers.

 

 


 

Solution

Let Riyan has x erasers, then Darius has 8x

According to question,

 8x = x + 42

8x - x = 42

 7x = 42

   x = 6

: Riyan has 6 erasers 

and Darius has 6 * 8 = 48 erasers


Hence solved Darius has 48 erasers.

 May 29, 2021

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