This is really hard. I tried everything I could and I just can't figure it out.
A ketchup packet contains 3/16 ounce of ketchup. How many ketchup packets can be made using 24 ounces of ketchup?
This question can be solved by thinking of it as a ratio.
If 1 packet = 3/16 ounce of ketchup, and we need to figure out how many packets we can make with 24 ounces, then we can say X is the number of packets.
we can create a fraction:
1 packet = X packets
3/16 ounces 24 ounces
To solve this, we can cross multiply:
1 packet * 24 ounces = X packets * 3/16 ounces
If we multiply it out, we will get:
24 = 3/16 X
Now, we just need to solve for X.
To get X by itself, we need to get rid of 3/16. To do that, we can divide both sides of the equation with 3/16.
24 = 3/16 X
On the right side, since we are dividing 3/16 by itself, we will only have X.
24 = X
So now, we just need to divide 24 by 3/16. Since we are dividing by a fraction, we need to get the reciprocal and multiply.
24 * (16/3) = X
This gives us 128 = X.
Therefore, 24 ounces of ketchup can make 128 packets! :)
What we know: 1 ketchup packet has 3/16 oz of ketchup
We have 24 oz of ketchup.
What were Trying to find out: How may packets of ketchup can be made with 24oz of ketchup.
To find the number of packets I simply divide 24 oz by the ounces in a single packet. (24 / oz in packet)
P = 24/(3/16)
This is sort of confusing so lets look at it dividing one fraction by another. (24 = 24/1)
- P = (24/1) / (3/16) To divide fraction you invert (tip over) the denominator and multiply, so
- P = (24 / 1) * (16 / 3)
- P = (24 * 16) / (1 * 3) multiply fractions Top times the Top over the Bottom times the Bottom
- P = (24 * 16) / 3 Bit of simplification
- P = 8 * 16 factor or cancel the 3 out of the numerator (top) and the denominator (bottom)
- P = 128 (number of 3/16 oz packets made from 24 oz of ketchup)
Hope this helps,