If 2 gulps = 5 slurps, and 2 slurps = 7 sips, then 122.5 sips is equal to how many gulps?
I already know my IQ. Is this supposed to test your IQ?
122.5 sips * 2slurps/7sips * 2gulps/5slurps = ? gulps
The units cancel as desired, so just work with the numbers.
To solve this problem, we can use the information given in the question to convert sips to gulps step by step.
First, we are given that 2 gulps = 5 slurps. This means that for every 2 gulps, there are 5 slurps.
Next, we are told that 2 slurps = 7 sips. So for every 2 slurps, there are 7 sips.
To find the conversion rate between sips and gulps, we need to combine these two conversion rates:
2 gulps = 5 slurps
2 slurps = 7 sips
To convert sips to gulps, we need to cancel out the slurps in the middle. We can do this by multiplying the two equations together:
(2 gulps / 5 slurps) * (2 slurps / 7 sips) = gulps / sips
Multiplying the values, we get:
(2 * 2) gulps / (5 * 7) sips = 4 gulps / 35 sips
Therefore, the conversion rate is 4 gulps per 35 sips.
To find out how many gulps are equal to 122.5 sips, we can set up a proportion:
4 gulps / 35 sips = x gulps / 122.5 sips
To solve for x (the number of gulps), we can cross multiply:
4 gulps * 122.5 sips = 35 sips * x gulps
490 gulps-sips = 35x
To isolate x, divide both sides by 35:
490 gulps-sips / 35 = x
x ≈ 14
Therefore, 122.5 sips is approximately equal to 14 gulps.