Question

Mortimer and praline together have 60 beans. praline eats 4x the amount mortimer at. how much did mortimer eat

Answer 1

Answer:

The number of beans eaten by Mortimer alone is 75 .

Step-by-step explanation:

Given as :

Mortimer and Praline together can eat 60 beans

The beans eat by Praline =  4 time beans eat by Mortimer

Let The beans eat by Mortimer = x

So, The beans east by Praline = 4 x

According to question

∵ Mortimer and Praline together can eat 60 beans

So, $\dfrac{1}{x}$ + $\dfrac{1}{4x}$ = $\dfrac{1}{60}$

Or, $\dfrac{4+1}{4x}$ = $\dfrac{1}{60}$

Or, $\dfrac{5}{4x}$ = $\dfrac{1}{60}$

or, 4 x = 5 × 60

i.e 4 x = 300

∴ x = $\dfrac{300}{4}$

Or, x = 75

So,The beans eat by Mortimer = x = 75

Hence, The number of beans eaten by Mortimer alone is 75 . Answer