Katie is having fun measuring things. This is what she discovered:
2 straws are as long as 5 crayons. 15 crayons are as long as 28 paperclips.
How many paperclips are as long as 3 straws?
s = long of straws
c = long of crayons
p = long of paperclips
2 straws are as long as 5 crayons means:
2 s = 5 c
5 c = 2 s
5 crayons are as long as 28 paperclips means:
5 c = 28 p
Since: 5 c = 2 s
2 s = 28 p
Multiply both sides by 1.5
3 s = 42
To determine how many paperclips are as long as 3 straws, we can use the information given. First, we know that 2 straws are as long as 5 crayons. So, we can write this relationship as:
2 straws = 5 crayons
Next, we know that 15 crayons are as long as 28 paperclips. So, we can write this relationship as:
15 crayons = 28 paperclips
To find out how many paperclips are as long as 3 straws, we need to use proportions. We set up the proportion:
(2 straws)/(5 crayons) = (3 straws)/(x paperclips)
Cross-multiplying gives us:
2 * x = 3 * 5
2x = 15
Dividing by 2 on both sides:
x = 15/2
Therefore, 3 straws are as long as 15/2 = 7.5 paperclips.