Stevie has some marbles. Freddie has twice as many marbles as Stevie. Danny has 5 more marbles than Freddie. In total, they have 55 marbles. How many marbles does Danny have?
Mathematics · College · Tue Nov 03 2020
Answered on
To find how many marbles does Danny have, let x be the number of marbles. Since Stevie has some marbles, Freddie has twice as many marbles as Stevie, Danny has 5 more marbles than Freddie and in total they have 55 marbles this can be equated as x+2x+2x+5= 55. Solve for x.
> x+2x+2x+5= 55
> 5x+5= 55
Subtract both sides by 5
> 5x+5-5= 55-5
> 5x= 50
Divide both sides by 5
> 5x/5= 50/5
> x=10
To solve for how many marbles does Danny have, substitute the value of x where the amount of Danny's marble can be expressed as 2x+5.
> 2x+5
> 2(10)+5
> 20+5
> 25
Danny has 25 marbles.