I make A snack mix by combining 3/4 of a pound of gummy bears with one pound of peanuts. I have 3 1/4 pounds of peanuts
a) how many pounds of gummy bears do I need to make the snack mix?
b) how many pounds of snack mix can I make?
My answers are:
I have a) 2 1/2 pounds of gummy bears is needed
b) I can make 7 1/2 pounds of snack mix
I am not sure if this correct, can you help, thanks
use a simple ratio equation , I will also change your numbers to decimals
gummy/.75 = 3.25 / 1
gummy = .75(3.25) = 2.4375 or 2 7/16 pounds of gummy bears
so total amount of snacks = 3.24 pounds of peanuts and 2.4375 pounds of gummy bears
= total of 5.6875 or 5 11/16 pounds of snack mix
check:
my answer : 2.4375 : 3.25 = 3 : 4 which is what it should be
Your answer: 2.5 : 3.25 ≠ 3:4
Thank you so much for your help and explaining my wrong answer
welcome
To calculate how many pounds of gummy bears you need to make the snack mix, you need to use the ratio of gummy bears to peanuts in the mix. The ratio given is 3/4 pound of gummy bears to 1 pound of peanuts.
Therefore, for every 1 pound of peanuts, you need 3/4 pound of gummy bears.
Now, let's calculate:
a) To find out how many pounds of gummy bears you need, you can set up a proportion:
(1 pound of peanuts) / (3/4 pound of gummy bears) = (3 1/4 pounds of peanuts) / (x pounds of gummy bears)
Cross-multiplying, we get:
(1 pound of peanuts) * (x pounds of gummy bears) = (3/4 pound of gummy bears) * (3 1/4 pounds of peanuts)
Simplifying, we have:
x pounds of gummy bears = (3/4 pound of gummy bears) * (13/4 pounds of peanuts)
x pounds of gummy bears = 39/16 pounds
Therefore, you need approximately 2 7/16 pounds of gummy bears to make the snack mix.
b) To calculate how many pounds of snack mix you can make, you need to add the amount of peanuts and gummy bears together.
The weight of the snack mix will be:
3 1/4 pounds of peanuts + 2 7/16 pounds of gummy bears
To simplify, you can convert the fractions to a common denominator:
3 1/4 = 13/4 and 2 7/16 = 55/16
Adding them together:
13/4 pounds + 55/16 pounds = (4 * 13 + 55) / 16 pounds = 117/16 pounds
Therefore, you can make approximately 7 5/16 pounds of snack mix.
So your answers are:
a) You need approximately 2 7/16 pounds of gummy bears.
b) You can make approximately 7 5/16 pounds of snack mix.