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?

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

To solve this problem, we need to determine the total weight of the snack mix and the amount of gummy bears needed.

a) To find out how many pounds of gummy bears are needed, we can subtract the weight of peanuts from the weight of the snack mix.

Weight of peanuts = 3 1/4 pounds
Weight of snack mix = 1 pound of peanuts + Weight of gummy bears

To find the weight of gummy bears, subtract the weight of peanuts from the total weight of the snack mix:

Weight of snack mix - Weight of peanuts = Weight of gummy bears

Convert the mixed numbers into improper fractions for easier calculations:
3 1/4 = 13/4

Weight of gummy bears = (Weight of snack mix) - (Weight of peanuts)
= 13/4 − 3 1/4

Subtract the whole numbers:
= 13/4 − 13/4
= 0/4

Since 0/4 is equal to 0, it means that no gummy bears are needed for the snack mix.

Therefore, the answer to part a) is 0 pounds of gummy bears needed.

b) To determine the total weight of the snack mix, add the weight of gummy bears and peanuts together:

Weight of snack mix = Weight of gummy bears + Weight of peanuts
= 0 pounds (from part a) + 3 1/4 pounds

Convert the mixed number '3 1/4' into an improper fraction:
3 1/4 = 13/4

Weight of snack mix = 0 + 13/4 pounds
= 13/4 pounds

Now, simplify the fraction:
13/4 = 3 1/4

Therefore, the answer to part b) is 3 1/4 pounds of snack mix that can be made.

In conclusion:
a) You do not need any gummy bears to make the snack mix.
b) You can make 3 1/4 pounds of snack mix.