21 February, 02:07
A bag contains yellow marbles and red marbles, 16 in total. The number of yellow marbles is 1 more than 2 times the number of red marbles. How many yellow marbles are there?
21 February, 02:52
11 yellow marbles
Let y = yellow marbles
r = red marbles
There are 16 total marbles
y+r = 16
the number of yellow marbles is 1 more than twice the red marbles
y = 2r+1
Taking y+r = 16 and solving for r
r = 16-y
Substituting this into the second equation
y = 2 (16-y) + 1
y = 32 - 2y + 1
Add 2y to each side
y + 2y = 32 - 2y + 2y+1
3y = 33
Divide each side by 3
3y/3 = 33/3
y = 11
There are 11 yellow marbles
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» A bag contains yellow marbles and red marbles, 16 in total. The number of yellow marbles is 1 more than 2 times the number of red marbles. How many yellow marbles are there?