Respuesta :
Answer:
110 red bricks she add in order to double the total number of bricks
Step-by-step explanation:
Kali builds a tower using only red, green, and blue toy bricks in a ratio of 4:3:1.
The original ratio of red, green and blue is 4x, 3x and x
the total of the original is [tex]4x+3x+x=8x[/tex]
She then removes 1/2 of the green bricks
she remove [tex]\frac{3}{2}x[/tex]
adds 1/3 more blue bricks
[tex]x+\frac{1}{3}x=\frac{4}{3}x[/tex]
The total of new is [tex]4x+\frac{3}{2}x+\frac{4}{3}x=\frac{41}{6}x[/tex]
size is reduced by 14 bricks
total of original - total of new = 14
[tex]8x -\frac{41}{6}x=14[/tex]
[tex]\frac{7}{6}x=14[/tex]
multiply both sides by 6/7
x= 12
original number of bricks = 8x = 8 times 12= 96
total of new bricks = [tex]\frac{41}{6}(12)=82[/tex]
Double the original number = [tex]2 \cdot 96 = 192[/tex]
the number of red bricks needs to add is
[tex]192-82=110[/tex]
110 red bricks she add in order to double the total number of bricks
