Answer:
a. 15 Jellybeans.
Step-by-step explanation:
Let "a pocketful of jelly beans" = x jelly beans.
"She gave half of them to her friend Marcus"
Now she has x/2 jelly beans left.
"and then a third of what she had left to Shelby"
If she gives away 1/3 of an amount, she has left 2/3 of the amount.
Now she has (2/3)(x/2) = x/3
She now has 1/3 of the original amount.
"Finally, she and her sister each ate five jellybeans and no jellybeans remained."
They ate a total of 10 jelly beans, and none were left.
The amount remaining, x/3 was 10.
x/3 = 10
Multiply both sides by 3:
x = 30
She started with 30 jellybeans.
"She gave half of them to her friend Marcus"
30/2 = 15
Answer: a. 15 Jellybeans
Answer:
a. 15 Jellybeans.
Step-by-step explanation:
Jackie began her day with a pocketful of jelly beans (we will call the jelly beans X incognita).
She gave half of them to her friend Marcus ( So, she now have 1/2X or 3/6X)
and then a third of what she had left to Shelby (a third of the half left: (1/2 - 1/3)X=1/6X is what she gave to Shelby from the starting amount).
Finally, she and her sister each ate five jellybeans and no jellybeans remained( this means, 10 jelly beans represent two-sixth of the initial amount of JB half: 10= 2/6X)
How many jellybeans did she give to Marcus?
If you use that last equation
10= (2/6)X
And clear the X
X= 30 jelly beans
That's the starting amount. Marcus recibed half of it, so he has 15 jelly beans.
