Q&A - P5 Math

[Winx5015]

Pse assist in solving the following questions.

1). The school attendants arranged all the chairs in the hall in rows of 12 and there was no remainder. When the chairs were rearranged in rows of 10, there were 7 more rows but 2 chairs left over. How many chairs were there in the hall?

2). A bus left the Woodlands Interchange with some passengers. At the first stop, 5/8 of the passengers got off while 14 passengers got on the bus. At the second stop, 29 passengers got off and 5 passengers got on the bus. When the bus left the second stop, the number of passengers in the bus was 1/4 of the number of passengers when it left the first stop. How many passengers were there in the bus when the bus left the Interchange?

Thanks.

[Guest]

Pse assist in solving the following questions.

1). The school attendants arranged all the chairs in the hall in rows of 12 and there was no remainder. When the chairs were rearranged in rows of 10, there were 7 more rows but 2 chairs left over. How many chairs were there in the hall?

Thanks.

Let the number of rows be n.

12n = 10 (n+7) + 2
12n = 10n + 70 + 2
2n = 72
n = 36

Hence number of chairs in the hall were 36x12 = 432

[Guest]

[linden2000]

Alternative solution to Q2:
3/4 of no. of passengers after 1st stop = 29-5=24
since no. of passengers after 2nd stop is 1/4 of no. after 1st stop
No. of passengers after 1st stop = 24/3 x 4=32

3/8 of no. of passengers when left interchange = 32-14=18
since 5/8 of passengers got off at 1st stop.
No. of passengers when left interchange = 18/3 x 8 =48

[Chan09]

Need some help on this:
Mrs A made a jar of cookies in the morning. Out of the 2/7 which she took out, 18 were given away and the remaining 52 cookies were eaten by her children. In the evening, she made another lot of cookies and she put 1/3 of them into the same jar as those made in the morning. After this, the total number of cookies in the jar was 204. How many cookies did she made in the evening?
Ans: 87

[linden2000]

Need some help on this:
Mrs A made a jar of cookies in the morning. Out of the 2/7 which she took out, 18 were given away and the remaining 52 cookies were eaten by her children. In the evening, she made another lot of cookies and she put 1/3 of them into the same jar as those made in the morning. After this, the total number of cookies in the jar was 204. How many cookies did she made in the evening?
Ans: 87

2/7 of morning cookies = 52+18=70
5/7 of morning cookies (in jar) = 70/2 x 5=175

1/3 of evening cookies = 204-175=29
No. of evening cookies = 29 x 3=87

[Winx5015]

Thanks ksi, for solving the 2 maths questions for me.

[Winx5015]

Hi linden 2000, thanks for providing the alternative solution for my question 2.
Really appreaciates your help.

[Guest]

Thanks ksi, for solving the 2 maths questions for me.

My first answer was expressed in number of rows as I forgot to multiply to get the number of chairs. It has been corrected.

[Symum]

Hi, need help to solve this question. Andrew had $268 and Brett had $172 at first. Each of them bought a pair of skates at the same price. After their purchase, Andrew had 5 times as much money left as Brett. How much did each pair of skates cost?