Q&A - P4 Math

[ozora]

need help:

1)2 similar shirts cost $26 more than 3 pairs of shoes. If their total cost is $158. find the cost of 1 shirt.

2) shop A had 164 more customers than shop B.
after 1/4 of the customers in shop A went to shop B. there were 48 more customers in shop B than shop A.
How many customers were there in shop A and shop B now?

[tianzhu]

ozora:

need help:

1)2 similar shirts cost $26 more than 3 pairs of shoes. If their total cost is $158. find the cost of 1 shirt.

2) shop A had 164 more customers than shop B.
after 1/4 of the customers in shop A went to shop B. there were 48 more customers in shop B than shop A.
How many customers were there in shop A and shop B now?

Hi

Good Morning.

2 shirts ------- 3 shoes + 26

3 shoes + 26 + 3 shoes ----- 158

6 shoes ------- 132
3 shoes -------- 66

2 shirts ------- 66 + 26 -------- 92

1 shirt ------- 46

At first
Shop A ------- 4 units + 164
Shop B ------- 4 units

In the end
Shop A ------- 3 units + 123
Shop B ------- 5 units + 41

3 units + 123 + 48 ------- 5 units + 41
1 unit ------ 65

Shop A ------- 3*65 + 123 ------- 318
Shop B ------- 5*65 + 41 ------- 366

Best wishes

[Charnic]

Kindly advise for the 1st equation :


2 shirts + 3 shoes + 26 = 158
Knowing that 3 shoes cost $66, why is shirt not $46 but $33

[tianzhu]

CNS:

Kindly advise for the 1st equation :


2 shirts + 3 shoes + 26 = 158
Knowing that 3 shoes cost $66, why is shirt not $46 but $33

Hi

Good Morning

As shown in the earlier post, 1 shirt ------- 46

Best wishes

[BigDevil]

CNS:

Kindly advise for the 1st equation :


2 shirts + 3 shoes + 26 = 158
Knowing that 3 shoes cost $66, why is shirt not $46 but $33

Your equation is wrong.

It should be

2 shirts + 3 shoes = 158

or

(3 shoes + 26) + 3 shoes = 158

[ozora]

tianzhu:

ozora:

need help:

1)2 similar shirts cost $26 more than 3 pairs of shoes. If their total cost is $158. find the cost of 1 shirt.

2) shop A had 164 more customers than shop B.
after 1/4 of the customers in shop A went to shop B. there were 48 more customers in shop B than shop A.
How many customers were there in shop A and shop B now?

Hi

Good Morning.

2 shirts ------- 3 shoes + 26

3 shoes + 26 + 3 shoes ----- 158

6 shoes ------- 132
3 shoes -------- 66

2 shirts ------- 66 + 26 -------- 92

1 shirt ------- 46

At first
Shop A ------- 4 units + 164
Shop B ------- 4 units

In the end
Shop A ------- 3 units + 123
Shop B ------- 5 units + 41

3 units + 123 + 48 ------- 5 units + 41
1 unit ------ 65

Shop A ------- 3*65 + 123 ------- 318
Shop B ------- 5*65 + 41 ------- 366

Best wishes

thanks
. for question no 2: i can't solve it unless using algebra
any possible methods? I got the answer684

[atutor2001]

ozora:

need help:

1)2 similar shirts cost $26 more than 3 pairs of shoes. If their total cost is $158. find the cost of 1 shirt.

2) shop A had 164 more customers than shop B.
after 1/4 of the customers in shop A went to shop B. there were 48 more customers in shop B than shop A.
How many customers were there in shop A and shop B now?

Algebra is the easier way. Anyway, if you wish to solve it using logical thinking, a possible way is as follows :

A is 164 more than B.
To make A and B equal, 164/2 = 82 must move from A to B
To make B more than A by 48, another 48/2 = 24 must move from A to B
(common mistake is in forgetting to divide by 2)

So a total of 82 + 24 = 106 must move from A to B so that B will be 48 more than A.

This 106 is 1/4 of the original number in A.

So the original number in A is 4 quarters, that is 106 x 4 = 424
So the original number in B is 424 - 164 = 260

The number in A now is 424 - 106 = 318
or
The number in A now is 3/4 of the original 3/4 x 424 = 318

The number in B now is 260 + 106 = 366

Personally I don't recommended this way to solve. Too much thinking needed.

[MathIzzzFun]

ozora:

tianzhu:

[quote=\"ozora\"]need help:

1)2 similar shirts cost $26 more than 3 pairs of shoes. If their total cost is $158. find the cost of 1 shirt.

2) shop A had 164 more customers than shop B.
after 1/4 of the customers in shop A went to shop B. there were 48 more customers in shop B than shop A.
How many customers were there in shop A and shop B now?

Hi

Good Morning.

2 shirts ------- 3 shoes + 26

3 shoes + 26 + 3 shoes ----- 158

6 shoes ------- 132
3 shoes -------- 66

2 shirts ------- 66 + 26 -------- 92

1 shirt ------- 46

At first
Shop A ------- 4 units + 164
Shop B ------- 4 units

In the end
Shop A ------- 3 units + 123
Shop B ------- 5 units + 41

3 units + 123 + 48 ------- 5 units + 41
1 unit ------ 65

Shop A ------- 3*65 + 123 ------- 318
Shop B ------- 5*65 + 41 ------- 366

Best wishes

thanks
. for question no 2: i can't solve it unless using algebra
any possible methods? I got the answer684[/quote]Hi
using MD

http://i40.tinypic.com/2nqh15f.png\">


cheers.

[ozora]

MathIzzzFun:

ozora:

[quote=\"tianzhu\"]
Hi
using MD

http://i40.tinypic.com/2nqh15f.png\">


cheers.

[/quote]thanks.
may I ask 164 is divided into 4 parts based on the denominator of 1/4, right?

[MathIzzzFun]

ozora:

MathIzzzFun:

Hi
using MD

http://i40.tinypic.com/2nqh15f.png\">


cheers.

thanks.
may I ask 164 is divided into 4 parts based on the denominator of 1/4, right?

yes

cheers.