When measuring distance 12 beads are Approxmately equal to 6 erasers. How many erasers are equal to 18 beads? How many beads equal to 42 erasers?
use a simple ratio
for the first:
12/6 = 18/x
cross-multiply
12x = 108
x = 9
repeat for the second part
or
simply realize that one eraser is twice as long as a bead, so ....
To solve this problem, let's set up a proportion using the given information.
We are told that 12 beads are approximately equal to 6 erasers. This can be expressed as:
12 beads / 6 erasers
Now, we can use this proportion to find the number of erasers that are equal to 18 beads:
12 beads / 6 erasers = 18 beads / x erasers
To find the value of x (the number of erasers), we can cross-multiply and solve for x:
12x = 6 * 18
12x = 108
Dividing both sides of the equation by 12, we get:
x = 108 / 12
x = 9
Therefore, 18 beads are equal to 9 erasers.
Similarly, we can find the number of beads that are equal to 42 erasers:
12 beads / 6 erasers = y beads / 42 erasers
Cross-multiplying and solving for y:
12 * 42 = 6y
504 = 6y
Dividing both sides by 6, we get:
y = 504 / 6
y = 84
Therefore, 42 erasers are equal to 84 beads.