Final answer:
The ratio of black to green Legos in the tower is found by dividing the number of black Legos by the number of green Legos. The initial ratio is 6:18, which simplifies to 1:3 after dividing both numbers by the greatest common divisor, 6.
Step-by-step explanation:
The question asks to find the ratio of the number of black Legos to the number of green Legos used in a tower. To find this ratio, you divide the number of black Legos by the number of green Legos. Since Slayer used 6 black Legos and 18 green Legos, the ratio is = 6 (black Legos) : 18 (green Legos).
To simplify the ratio, we can divide both terms by the greatest common divisor, which in this case is 6. So, we divide both the numerator (6) and the denominator (18) by 6, which gives us:
6 black Legos ÷ 6 = 1
18 green Legos ÷ 6 = 3
Therefore, the simplified ratio of black to green Legos is 1:3.
This principle of finding proportions and ratios is similar to the example given by Beth, where mathematical relationships like X = Y x 2 + 1 can define architectural proportions. In our Lego example, the ratio neatly describes the proportion of different colored blocks in the tower's construction.