Answer:
The number of red blocks Ali has is 13 red balls
Step-by-step explanation:
The given parameters are;
The number of snap-together building blocks Ali has = 177
The number of red blocks Ali has = 1/4 × The number of blue blocks Ali has
The number of white blocks Ali has = 1/2 × The number of black blocks Ali has
The number of black blocks Ali has = The number of blue blocks he has
The number of miscellaneous blocks Ali has = 34
Let x represent the number of blue blocks Ali has, therefore, we have;
The number of red blocks Ali has = 1/4 × x
The number of black blocks Ali has = The number of blue blocks = x
x = 1/2 × The number of white blocks Ali has
∴ The number of white blocks Ali has = 2·x
The number of known colored blocks Ali has = 177 - 34 = 143
Therefore, we have;
x + 1/4·x + x + 1/2·x = 143
11/4·x = 143
x = 143 × 4/11 = 52
Therefore, the number of blue blocks Ali has = x = 52 blue balls
The number of red blocks Ali has = 1/4 × The number of blue blocks Ali has = 1/4 × 52 = 13
The number of red blocks Ali has = 13 red balls.
