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Anni [7]
3 years ago
15

Kali builds a tower using only red, green, and blue toy bricks in a ratio of 4:3:1. She then removes 1/2 of the green bricks and

adds 1/3 more blue bricks, reducing the size of the tower by 14 bricks. How many red bricks will she need to add in order to double the total number of bricks used to build the original tower?
A. 82
B. 96
C. 110
D. 120
E. 192
Mathematics
1 answer:
Neko [114]3 years ago
4 0

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 4x+3x+x=8x

She then removes 1/2 of the green bricks

she remove \frac{3}{2}x

adds 1/3 more blue bricks

x+\frac{1}{3}x=\frac{4}{3}x

The total of new is 4x+\frac{3}{2}x+\frac{4}{3}x=\frac{41}{6}x

size is reduced by 14 bricks

total of original - total of new = 14

8x -\frac{41}{6}x=14

\frac{7}{6}x=14

multiply both sides by 6/7

x= 12

original number of bricks = 8x = 8 times 12= 96

total of new bricks =  \frac{41}{6}(12)=82

Double the original number = 2 \cdot 96 = 192

the number of red bricks needs to add is

192-82=110

110 red bricks she add in order to double the total number of bricks

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