Hi,

I have 3 questions that I need some guidance on. Here goes:

1. Minah had a bag of rice. Her family ate an equal of rice each day. After 3 days, she had 4/5 of the rice left. After another 7 days, she had 24Kg of rice left. How much rice was in the bag at first?



2. After a Maths quiz, Mr Li gave the 3 prize winners a box of pencils to share. The 1st winner received 2/3 of the pencils + 1/3 of a pencil. The 2nd winner received 2/3 of the remainder + 1/3 of a pencil. The 3rd received 2/3 of the new remainder + 1/3 of a pencil.
But there were no pencils left after this. How many pencil were there in all?


3. 1/4 of the beads in a box are red. There are 24 more yellow beads than red beads in the box. The reminding 76 beads are blue. How many beads are there in the box?

Many thanks,

Brian wrote:
Hi,
I have 3 questions that I need some guidance on. Here goes:
Pls advise the source of these 3 questions.School holiday's homework?

Brian wrote:
1. Minah had a bag of rice. Her family ate an equal of rice each day. After 3 days, she had 4/5 of the rice left. After another 7 days, she had 24Kg of rice left. How much rice was in the bag at first?
3 days -> Ate 1/5 of the rice
10 days -> 1/5 divided by 3x10 = 10/15 = Ate 2/3 of the rice
Left -> 1/3 of the rice = 24 kg
3/3 of the rice -> 24x3 = 72 kg

Amount of rice in the bag at first = 72 kg

Brian wrote:
2. After a Maths quiz, Mr Li gave the 3 prize winners a box of pencils to share. The 1st winner received 2/3 of the pencils + 1/3 of a pencil. The 2nd winner received 2/3 of the remainder + 1/3 of a pencil. The 3rd received 2/3 of the new remainder + 1/3 of a pencil.But there were no pencils left after this. How many pencil were there in all?
1⅓x3=4
4⅓x3=13

Number of pencils in all = 13

OR
3rd winner got 2/3 of the remainder + 1/3 of pencil = 1/3x3 = 1 pencil
2nd winner got [(1+1/3)x3]-1 = 3 pencils
1st winner got [(4+1/3)x3]-4 = 9 pencils
Number of pencils in all = 1+3+9= 13

Brian wrote:
3. 1/4 of the beads in a box are red. There are 24 more yellow beads than red beads in the box. The reminding 76 beads are blue. How many beads are there in the box?
Red: 1/4 of the beads
Yellow: 1/4 of the beads+24
Blue: 76 beads ie 2/4 of the beads-24

2/4 of the beads-24 = 76
1/2 of the beads =100
Number of beads = 200

Number of the beads in the box = 200

Check
Red: 1/4x200 = 50 beads
Yellow: 50+24= 74 beads
Blue: 200-50-74 = 76 beads

Hope that the above working is correct.

To perseverance,

Thanks for your solution.Those were just some CP sums for my holiday homework.There were 13 questions in all and the ones I asked were the ones I don not know.Anyway,the solutions you gave me,the 1st one I understood but the rest were confusing.Please give me further details please!

From:Brian

PS:Hope I spelt your mame correctly......

After a Maths quiz, Mr Li gave the 3 prize winners a box of pencils to share. The 1st winner received 2/3 of the pencils + 1/3 of a pencil. The 2nd winner received 2/3 of the remainder + 1/3 of a pencil. The 3rd received 2/3 of the new remainder + 1/3 of a pencil.But there were no pencils left after this. How many pencil were there in all?

You can find this identical question here using the Remainder Concept (just the name change). Its the second question in the post.

www.onsponge.com/index.php?option=com_ku...55&catid=35#3662


1/4 of the beads in a box are red. There are 24 more yellow beads than red beads in the box. The reminding 76 beads are blue. How many beads are there in the box?

For this question we can also use a model since we see the words "More Than"