SOLUTION: There are 7 red marbles for every 3 blue marbles in a collection. the collection has 420 more red marbles than blue marbles. How many marbles are there in the collection. show the

Algebra.Com
Question 418743: There are 7 red marbles for every 3 blue marbles in a collection. the collection has 420 more red marbles than blue marbles. How many marbles are there in the collection. show the work


Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
420 more red marbles than blue marbles
Let x and (x +420)represent the amount of blue and red respectively
Question Sets Up the Proportion
|Cross Multiplying to solve
7x = 3(x+420)
4x = 1260
x = 315, blue marbles and 735 red marbles (315+420)
CHECKING our Answer***
735/315 = 7/3
RELATED QUESTIONS

There are 7 red marbles to every 3 blue marbles in jasons marble collection there are 420 (answered by nyc_function)
A jar has twice as many red marbles as white marbles and the ratio of blue marbles to... (answered by Boreal)
Anna has a collection of $120$ marbles, each of which is either red or blue. If Anna has (answered by math_tutor2020,ikleyn)
Ned has 55 marbles in his collection. He has twice as many white marbles as red marbles.... (answered by josmiceli)
ned has 55 marbles in his collection. he has twice as many white marbles as red marbles.... (answered by JulietG)
A bag contains blue marbles and red marbles, 71 in total. The number of blue marbles is 1 (answered by Fombitz)
There are 3 blue marbles and 1 red marbles in a box. Write the ratio of blue marbles to... (answered by Fombitz)
A sack contains red and blue marbles. The ratio of red marbles to blue marbles is 4:3. If (answered by Mathtut)
There are 3 red marbles for every blue one in a box. If there are a total of 48 marbles... (answered by ewatrrr)