a bag contains purple marbles and blue marbles 23 in all the number of purple markers is 8 more than 4 times the number of blue marbles.How many purple marbles are there?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the statement:
a bag contains purple marbles and blue marbles 23 in all the number of purple marbles is 8 more than 4 times the number of blue marbles.
Determine how many purple marbles are there.
Solution:
x =blue marbles
8 + 4x = purple marbles
The given numerical statement can be written as,
x + 8 + 4x =23
Transpose 8 on the other side of the equation, note that when transposing a number, the sign changes.
5x = 23 - 8
5x = 15
Divide both sides by 5 in order to get the value of x.
x = 3
Blue marbles =3
Purple marbles = 8 + 4(3)
Purple marbles =20
Final answer:
Purple marbles =20