Homer was very generous with his bag of jelly bellys. He gave 2/5 of the whole bag to marge and 1/3 of the whole bag to lisa. he then gave 44 of them to bart and discovered that his bag was empty. how many jelly bellys did homer have to start with? I GOT AS FAR AS ADDING 2/5+1/3 AND I GOT 11/15 I DON'T KNOW WHAT TO DO AFTER THAT CAN SOMEONE HELP ME
11/15x + 44 = x
4/15x = 44
x = 44/(4/15)
x = 44 * (15/4)
x = 165
hi how did you get 4/15
I subtracted x from 11/15x
15/15 - 11/15 = 4/15
ok thank you so much
You're welcome.
im sorry to keep bother you but where did the 15/15 come from
No problem.
1 = 15/15
ok i get it now thank you again
To solve this problem, let's break it down step by step:
1. Start by finding a common denominator for 2/5 and 1/3. The least common multiple of 5 and 3 is 15. So, we can rewrite the fractions with the common denominator:
2/5 = 6/15
1/3 = 5/15
2. Now add the fractions:
6/15 + 5/15 = 11/15
3. So, Homer gave away 11/15 of the whole bag.
4. The remaining fraction of the bag is 4/15 (15/15 - 11/15 = 4/15).
5. We also know that he gave 44 jelly beans to Bart, which is equivalent to (44/15) * (15/15) = 44/15 of the whole bag.
6. Now, let's set up an equation to find the whole bag's quantity:
44/15 = 4/15 * quantity of the whole bag
7. To get the quantity of the whole bag, we can multiply both sides of the equation by 15/4:
(44/15) * (15/4) = (4/15 * quantity of the whole bag) * (15/4)
44/4 = quantity of the whole bag
8. Simplifying, we find that the quantity of the whole bag is:
11 = quantity of the whole bag
Therefore, Homer had a bag of 11 jelly beans to start with.