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In Mathematics / Middle School | 2014-05-12

There are 27 red or blue marbles in the bag. The number of red marbles is 5 less than 3 times the number of blue marbles.

How many red marbles are in the bag?
How many blue marbles are in the bag?

Asked by noahchaffin

Answer (3)

27=3x-5+x 27+5=4x-5+5 4x=32 4x/4=32/4 x=8 There are 8 blue marbles and 19 red marbles.

Answered by runescapememo8 | 2024-06-10

Let
x--------> The number of red marbles
y--------> The number of blue marbles
we know that
x + y = 27 x = 27 − y
equation 1
x = 3 y − 5
equation 2
equate equation 1 and equation 2
27 − y = 3 y − 5 3 y + y = 27 + 5 4 y = 32 y = 8
x = 3 ∗ 8 − 5 x = 19
therefore
the answer is
The number of red marbles is 19
The number of blue marbles is 8

Answered by calculista | 2024-06-24

There are 19 red marbles and 8 blue marbles in the bag. This is found by solving the equations based on the relationships given in the problem. The total number of marbles adds up to 27, meeting the conditions stated.
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Answered by calculista | 2024-10-09