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?
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
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.