Q&A - P5 Math

[guchengyouzi]

Thanks in advance!

I found this question.. Can anyone help please? Thanks..

Based on the ratios of the salaries and savings :

Z salary is 4/5 of J saving
4u = 4/5 * 15k
u = 3k

Z expenditure is 4u - 4k = 12k -4k = 8k
J expenditure 7u - 15k = 21k - 15k = 6k
J : Z = 6k : 8k = 3 : 4

[guchengyouzi]

Can someone help please.. thanks
Alan had some apples. When he packed them into bags of 7 apples,he would have 3 apples left. When he packed them into bags of 9 apples,he would be short of 6 apples. what was the least number of apples that Alan had?

If Alan packed into n bags of 7,
total no. of apples is n * 7 + 3 = 7n + 3
If packed into k bags of 9,
total no. of apples is k * 9 - 6 = 9k - 6
Therefore,
7n + 3 = 9k - 6
9k = 7n + 9
k = (7/9) n + 1
To get the smallest whole number for k, n should be 9.
n = 9
k = 8
total no. of apples is 7n + 3 = 66

[Jerico]

Hi, Can someone kindly help me to solve the following Heuristics Question :-

Q : There are three different numbers.
- They are all four-digit odd numbers.
- The digits of each number add up to 14.
- None of the numbers can be divided by 5.
- These numbers read the same forwards and backwards.

Can you guess the numbers using these clues ?

Thank you in advance for your kind assistance.

[guchengyouzi]

Hi, Can someone kindly help me to solve the following Heuristics Question :-

Q : There are three different numbers.
- They are all four-digit odd numbers.
- The digits of each number add up to 14.
- None of the numbers can be divided by 5.
- These numbers read the same forwards and backwards.

Can you guess the numbers using these clues ?

Thank you in advance for your kind assistance.

1st is d
2nd is c
3rd is c
4th is d
so the number looks like 'dccd'
d + c + c + d = 14
2c + 2d = 14
c + d = 7

since cannot be divided by 5, d could be 1, 3, 7 or 9
d = 1, c = 6, 1661
d = 3, c = 4, 3443
d = 7, c = 0, 7007
if d = 9, c would become negative

[speedmaths.com]

Thanks in advance!

I found this question.. Can anyone help please? Thanks..

Hi,

Another possible solution:

(Zachary's saving is 4/15 of Jeremy's savings.)

Zachary's saving → 4 u
Jeremy's savings → 15 u



(Zachary's monthly salary is 4/5 of Jeremy's savings)
Zachary's monthly salary is 12/15 of Jeremy's savings

Zachary's monthly salary → 12u
Jeremy's savings → 15 u



(Jeremy's monthly salary is 1 3/4 Zachary's monthly salary)
Jeremy's monthly salary is 1 3/4 or 7/4 or 21/12 Zachary's monthly salary.

Jeremy's monthly salary → 21 u
Zachary's monthly salary → 12 u



Jeremy's monthly salary → 21 u
Jeremy's savings → 15 u
Jeremy's expenditure → 21 u – 15 u → 6 u

Zachary's monthly salary → 12 u
Zachary's saving → 4 u
Zachary’s expenditure → 12 u – 4 u → 8 u



Ratio of Jeremy's expenditure to Zachary’s expenditure
→ 6 u : 8 u
→ 3:4


Hope this helps.

Cheers


speedmaths
.

[belnanna]

Hi, can some kind soul please help without solving this in algebra?
Thanks ....

Tom's present age is twice more than Sam's age years ago. Today, Sam's age is Tom's age the same number of years ago. How old is Tom now if the sum of their present age is 30?

[homeworkgurusg]

Hi, can some kind soul please help without solving this in algebra?
Thanks ....

Tom's present age is twice more than Sam's age years ago. Today, Sam's age is Tom's age the same number of years ago. How old is Tom now if the sum of their present age is 30?

Hi, it can be solved using model.

A common mistake by my student is "twice more than", they often mistake it as "twice as much as". In this question, "Tom's present age is twice more than Sam's age years ago", means Tom's present age is 3u, Sam's age years ago is 1u.



Hope this helps.

Cheers.

[belnanna]

Hi, can some kind soul please help without solving this in algebra?
Thanks ....

Tom's present age is twice more than Sam's age years ago. Today, Sam's age is Tom's age the same number of years ago. How old is Tom now if the sum of their present age is 30?

Hi, it can be solved using model.

A common mistake by my student is "twice more than", they often mistake it as "twice as much as". In this question, "Tom's present age is twice more than Sam's age years ago", means Tom's present age is 3u, Sam's age years ago is 1u.



Hope this helps.

Cheers.

Thank you very much

[dicoyote]

Hi, can any kind soul help me in this question? Many thanks in advance!

A container contains a number of chocolate n banana muffifns in the ratio 5:2. After removing 10 chocolate muffins n adding another 4 banana muffins, the ratio became 3:2. How many chocolate muffins were there in the container in the end?

[MathIzzzFun]

Hi, can any kind soul help me in this question? Many thanks in advance!

A container contains a number of chocolate n banana muffifns in the ratio 5:2. After removing 10 chocolate muffins n adding another 4 banana muffins, the ratio became 3:2. How many chocolate muffins were there in the container in the end?

using model/units:



For chocolate muffins,
5u - 10 = 3u + 6
2u --> 16
u --> 8

In the end,
number of chocolate muffins = 3 x 8 + 6 = 30

using units/parts:



Equalizing parts (--> 6p)

10u - 20 = 6u + 12
4u --> 32
u --> 8

In the end,

number of chocolate muffins = 5 x 8 - 10 = 30

cheers.