Q&A - P5 Math
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MathIzzzFun:
:rahrah: cool.... Thank u for enlightening me!
using fractions:marstolive:
Hi appreciate your assistance on the following question.
A box of beads was sold out in 4 days. 1/5 of the beads were sold on the second day. 3/10 of the beads were sold on the third day. The number of beads sold on the fourth day was 14 more than that sold on the second day. The ratio of the beads sold on the first day to the total number of beads sold on the next 3 days was 1:7.
a) What was the total number of beads in the box?
b) how many more beads were sold on day 4 than on day 1?
:nailbite:
Day 2 --> 1/5 of beads = 8/40 of beads
Day 3 --> 3/10 of beads =12/40 of beads
Day 4 --> 8/40 of beads + 14 beads
Day 2+Day3+Day 4 --> 28/40 of beads + 14 beads
Day 1 --> 1/8 of beads = 5/40 of beads
Day 1 + Day 2+Day3+Day 4
= 28/40 of beads + 14 beads + 5/40 of beads
= 33/40 of beads + 14 beads
7/40 of beads --> 14 beads
1/40 of beads --> 2 beads
a) Total number of beads --> 40 x 2 = 80 beads
b) Day 4 --> 8 x 2 + 14 = 30 beads
Day 1 --> 5 x 2 = 10 beads
30 beads - 10 beads = 20 beads --> 20 more bead were sold on Day 4 than on Day 1.
cheers. -
Lizzyho:
:thankyou:Draw a model with 10 equal parts.
1/5 of the beads were sold on the second day=2 parts
3/10 of the cards (I think you meant beads) were sold on the third day=3 parts
ratio of the beads sold on the first day to the total number of beads sold on the next 3 days was 1:7=total beads should be divided into 8 (1+7) parts. Thus we need to share out the original 10 parts into 8 parts=10/8=1 1/4. This means that for each of the original part, you need to further divide into 4 smaller parts. Thus day 1=1original part+1small part (sorry I don't know how to draw out on the computer, hope you understand)
number of beads sold on the fourth day was 14 more than that sold on the second day=remaining parts=3 original parts+3small parts
Thus 1 original part+3small parts=7small parts=14 beads. 1 small part=2 beads.
a) Total number of beads in the box=2x4x10=80 beads
b) No. of beads sold on day 4=16+14=30 beads
No. of beads sold on day 1=4+2=6
24 more beads were sold on day 4 than day 1
Think I'm correct, hope you understand -
Jug X & Jug Y contained some apple juice. if 2/7 of the apple juice from jug Y was poured into Jug X, the ratio of the amount of apple juice in Jug Y to that in Jug X would be 10:13. What was the ratio of the amount of apple juice in jug Y to the amount of apple juice in Jug X at first?
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Jug X & Jug Y contained some apple juice. if 2/7 of the apple juice from jug Y was poured into Jug X, the ratio of the amount of apple juice in Jug Y to that in Jug X would be 10:13. What was the ratio of the amount of apple juice in jug Y to the amount of apple juice in Jug X at first?
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Carina and Leslie shared some sweets. if Carina received 8 sweets from Leslie, the ratio of the number of sweets she had to the number of sweets Leslie had would be 3:1. If Leslie received 24 sweets from Carina, he would have the same number of sweets from Carina. What was the total number of sweets shared?
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an elevator can carry either 159 adults or 186 children at one time. Given that 62 children are already in the elevator, how many adults can still get into the elevator?
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A group of girls was seated in a circle. A box of 115 sweets was passed around in a clockwise direction, starting from Mary. Each girl took a sweet each time the box was passed to her. If Mary took the last sweet in the box, she would have taken a total of 7 sweets. How many girls were there in the group?
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ttyh:
Jug X & Jug Y contained some apple juice. if 2/7 of the apple juice from jug Y was poured into Jug X, the ratio of the amount of apple juice in Jug Y to that in Jug X would be 10:13. What was the ratio of the amount of apple juice in jug Y to the amount of apple juice in Jug X at first?
2/7 of apple juice from Jug Y poured into X, 5/7 of apple juice left in Jug Y,
Jug Y : Jug X --> 10 units : 13 units
5/7 of Jug Y --> 10 units
2/7 of Jug Y --. 4 units
At first, Jug Y : Jug X --> 10 units + 4 units : 13 units - 4 units = 14 : 9
cheers. -
ttyh:
A group of girls was seated in a circle. A box of 115 sweets was passed around in a clockwise direction, starting from Mary. Each girl took a sweet each time the box was passed to her. If Mary took the last sweet in the box, she would have taken a total of 7 sweets. How many girls were there in the group?
115-1 = 114 --> 114 sweets passed 6 full rounds ie every girl took 6 sweets.
Number of girls in the group = 114/6 = 19
cheers. -
ttyh:
an elevator can carry either 159 adults or 186 children at one time. Given that 62 children are already in the elevator, how many adults can still get into the elevator?
186 children --> 159 adults
62 children --> 53 adults
159 - 53 = 106 --> 106 more adults can get into the elevator.
cheers.
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