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?

Robtlukas May 28, 2021

#1**+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

ElectricPavlov May 28, 2021

#3**+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.

Fritzizj May 29, 2021