can anyone help?

Question

Can anyone help? I'm REALLY rubbish at maths no matter how easy they are!!! So can anyone help me?
Here are the questions:

Q1. Kathleen spent three-eights of her income on rent and two fifths of what was left on food. What fraction of her income was left after buying her food?

Q2. A merchant buys 28 crates each containing three-quarters of a ton of waste metal. What is the total weight of this order?

Q3. Which is larger, 3\4 of 2 and 1\2 or 2\5 of 6 and 1\2?

Q4. After James spent 2\5 of his pocket money on magazines, and 1\4 of his pocket money at a football match, he had 1.75 pounds left. How much pocket money did he have in the beginning?

Now guys I'm really stuck and I need something called HELP out here! So don't look at the question and just ignore it at least answer one question! And thankyou to all who's going to help me!

Answer 1

I am going to help. see how every thing is done.

Q1) Let katheleen income =X, then 3/8 * X =3x/8 for rent

What is left from 3x/8 = X - 3/X, or 3x/3 - 3x/8 =( 5/8 X)
What left from her income is then 5/8 X

now 2/5 times 5/8X =2/8 X = 1/4 X

What left of her income is 1/4 X or Quarter of her income.


Q2) Each crates weighs 3/4 tons.or 0.75 tons
the total weight of the order is 0.75 times 28 = 21.50 tons

Total weight of the merchant order = 21.5 tons21and 1/2.

Q3) 3/4 times2 + 1/2 = 3/4*4/2 =12/8 = 3/2

3/2 + 1/2 = 4/2 = 2

Now 2/5 times 6 = 2/5 * 6/1 = 12/5

12/5 + 1/2 = 12/5 + 5/10 = 24/10 + 5/10 =29/10 =2.9

Which is larger than 2.

Q4) Let James' pocket money = X

then X - (2/5 *X + 1/4 * X) = 1.75

20 X - ( 8X + 5X) = 35

20X-8X - 5X = 35
7X = 35
X = 35/7 = 5

James pocket money = 5 Pounds.

Are you happy now!

Answer 2

Most people, I believe, got Q2 and Q3 correct, however a handful got the others wrong. Here are my answers...

Q1 answer:
If Kathleen had, theoretically, 1 pound initially, she'll have 3/8 of a pound after paying rent. 1 * (3/8) = 3/8
Spending 2/5 OF WHAT SHE NOW HAS LEFT on food will leave her now with 3/20 of a pound. (3/8) * (2/5) = 3/20

The same mistake was made in Q4.

Q4 answer:
In order to get the correct fraction of money that James' 1.75 pounds represent, we'll represent his initial total as x. If James started with x pounds and spent 2/5 of in on magazines, he will now have (2/5)x pounds left.
x * (2/5) = (2/5)x
Spending 1/4 OF WHAT HE HAS LEFT at a football match will leave him with (1/10)x, or 1.75, pounds. Therefore, James initially had 17.50 pounds.
(2/5)x * (1/4) = (2/20)x = (1/10)x = 1.75
x = 1.75 / (1/10) = 17.5

I hope I helped.

Answer 3

Q1.

1 - 3/8 = 5/8 left after rent

5/8 * 2/5 = 10/40 = 1/4 spent on food

5/8 - 1/4 = 5/8 - 2/8 = 3/8 remaing after food and rent



Q2.

28 * 3/4 = 84/4 = 21 tonnes


Q3.

3/4 * 5/2 = 15/8 = 1.875
2/5 * 13/2 = 26/10 = 2.6 is larger


Q4.

wat portion does he have left?

1 - 2/5 = 3/5 3/5 - 1/4 = 7/20

so he's got 7/20 left which is £1.75

then the whole msut be 1.75 divide 7/20 = £5

Answer 4

1. Let the total income of Kathleen be 1

Therefore, 3/8 + 2/5 + x = 1

Therefore, x = 1 - (3/8 + 2/5)

x = 1 - (15 + 16)/40

x = 1 - 31/40

x = 9/40

2. 3/4 *28 = 21 tons

3. 3/4*2 = 3/2; 1/2*6 = 1/3 or 2/5*6 = 12/5; 1/2

2/5 of 6 is the largest

4. 2/5 + 1/4 + 1.75 = x

0.4 + .25 + 1.75 = x

x = 2.40 pounds.

Answer 5

Q1.

Let Kathleen's income be x

She spent 3/8 th's of her income on rent i.e., (3x)/8

So the remaining money is x - (3x)/8
= x(1-3/8)
= x(5/8)
= (5x)/8
2/5 th's of the amount left is spent on food i.e., 2/5{(5x)/8}
= x/4

So after buying the food 1/4 th of her income is left.

Q2.

28 * 3/4 ton = 21 tons.

Q3.

3/4 of 2 and 1/2 or 2/5 of 6 and 1/2
3/4 of (2+1/2) or 2/5 of (6+1/2)
3/4 of 5/2 or 2/5 of 13/2
3/4 * 5/2 or 2/5 * 13/2
15/8 or 13/5
1 and 7/8 or 6 and 1/2

So the second one 2/5 of 6 and 1/2 is larger.

Q4.

Let pocket money of James be x

He spent 2/5 of x i.e., (2x)/5 on magazines.

He spent 1/4 of x i.e., (x)/4 on football match.

So total amount spent by James is (2x)/5 + (x)/4
= (13x)/20

The remaining money James had is 1.75 pounds

Total amount - remaining amount = 1.75
x - (13x)/20 = 1.75
x( 1 - 13/20 ) = 1.75
x(7/20) =1.75
x = 1.75 * 20/7
x = 5 Pounds.

Hope this helped you.
Good Luck.

Answer 6

q1. 1/1 - 3/8 - 2/5 =
40/40 - 15/40 - 16/40 = 9/40

q2. 28/1 x 3/4 = 84/4 = 21tons

q3. 3/4 x 2.5/1 = 7.5/4 = 15/8 = 1and 7/8
2/5 x 6.5/1 = 13/5 = 2 and 3/5
there fore 2/5s of 6 and a 1/2 is bigger

q4. x -8/20 - 5/20 = 1.75
x - 13/20 = 1.75
7/20x= 7/4
7x = 35
x = 5pounds

Answer 7

Q1 .make everything the same then it is easier.
3/8=15/40(x5)
2/5=16/40(x8)
spent = 15/40 +16/40=31/40
left=31/40- 40/40= 9/40
seee , easy.

Q2 . 1 crate=3/4 ton
28 crate=3x28 /4
= 84/4
=21 tons.
see not that difficult
Q3. not clear
Q4. 2/5= 8/20(x4)
1/4= 5/20(x5)
spent= 13/20
left=7/20
1.75 pounds= 7/20
1.75 divide by7 x 20
will get you the answer.

come on surely you don't expect me to do everything???
God bless,
gabe

Answer 8

1)income =x
rent =3x/8
left =x-3x/8=5x/8
on food =2/5(5x/8)=x/4
income now left with her =5x/8-x/4=3x/8
fraction of her income left =(3x/8)/x=3/8
2)total crates =28
waste in 1 crate=3/4(1 ton )=3/4 (100kg)=75kg
total wt.= 28x75=2100kg

3)3/4(2+1/2) 2/5(6+1/2)
3/4(5/2) 2/5(13/2)
15/8 13/5
15x5/8x5 13x8/5x8
75/40 < 104/40
4)let pocket money =x
on magazines=2x/5
on football match =x/4
left=x-(2x/5+x/4)=7x/20
but we know left pm=1.75p
7x/20=1.75p
x=5p

Answer 9

These all involve the multiplication of fractions.

A/B*C/D=AC/BD. Sometimes you are given information on the left hand side, sometimes on the right. Sometimes, you need to extend the formula to multiply by E/F as well, but it's the same process. You should be able to get all of these answers from there, so long as you know how to change a mixed number into an "improper fraction" (quotes because it's the most proper type for most problems.)

Answer 10

1)9/40
2)21 tonnes
3)2/5 of 6 and 1/2
4)£5

i think