i need help for my maths work. can anyone help me please?

Question

I need help for my maths works; can anyone help me please....
(1) There are a total of 960 apples, pears and oranges at a fruit stall.The number of pears is thrice the number of apples.The number of oranges is twice the number of pears.How many more oranges than pears are there at the fruit stall?

(2) The total mass of a papaya, a durian and a mango is 4 kg 473g.The papaya's mass is twice that of the mango's.The durian's mass is thrice that of the papaya's. Find the total mass of the durian and the mango.

(3) The height of a ladder is four times that of a wooden pole.The height of the wooden pole is twice that of a bamboo stick.The ladder is 56m longer than the bamboo stick. What is the total height of the ladder and the wooden pole?

Thanks inadvance for whoever give me the answers. Thank you again.

Answer 1

These are pretty straightforward. But only *after* you see how to 'think' about the problem and set it up in algebraic terms.

(1)
Call the number of apples x (Why the apples, there are fewer of them than anything else ) Then

x = number of apples
3x = number of pears (thrice the number of apples)
2*(3x) = number of oranges (twice the number of pears)

so

x +3x + 6x = 960 => 10x = 960 => x = 96 = # of apples

then

3*96 = 288 = # of pears
2*288 = 576 = # of oranges

check

96 + 288 + 576 = 960 Yup

(2)
This is just a variation of (1)
Let the mango's mass be x, then

x = mass of mango
2x = mass of papaya
3*(2x) = mass of durian

and

x + 2x + 6x = 4.473 => 9x = 4.473 => x = .497kg or 497g

2*.497 = .994 kg (mass of papaya)
3*.994 = 2.982kg (mass of durian

check

.497 + .994 + 2.982 = 4.473 Yup

(3)
Again, start with the smallest.

x = height of the stick
2x = height of the pole (twice the length of the stick)
4*(2x) = height of ladder (four times the length of the pole)

and the problem tells us that

4*(2x) - x = 56 meters

so

8x - x = 57 => 7x = 56 => x = 8

so 8m = height of the stick
2*8 = 16 = height of pole
4*16 = 64 = height of ladder

check

64 - 8 = 56 Yup


Now........ Don't just glance at this and say, "That's Kewl" and go back to watching TV. Actually *study* what was done and why so that you understand it. Why? Because I won't be there to take your math tests for you

BTW, that is one *helluva* tall ladder. Be careful not to fall off of it


Doug

Answer 2

1).

Given

x = Apples

3x = Pears

2(3x) = Oranges

960 = total amount of Apples, Pears and Oranges

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The formula;

x + 3x + 2(3x) = 960

x + 3x + 6x = 960

10x = 960

10x/10 = 960/10

Divide both sides by 10

x = 96

Insert 96 into the formula

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

96 + 3(96) + 2[3(96)] = 960

96 + 288 + 2[288] = 960

96 + 288 + 576 = 960

960 = 960

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

There are:

96 Apples

288 Pears

576 Oranges

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2).

Given

x = Mangos

2x = Papayas

3(2x) = Durian's

Total Mass = 4.473 kg

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The formula

x + 2x + 3(2x) = 4.473

9x = 4.473

9x/9 = 4.473/9

Dividing both sides by 9

x = 0.497 kg

Insert 0.497 into the formula

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

0.497 + 2(0.497) + 3[2(0.497)] = 4.473

0.497 + 0.994 + 3[0,994] = 4.473

0,497 + 0.994 + 2.982 = 4.473

4.473 = 4.473

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Mass of the mangos = 0,497 kg

Mass of the papayas = 0.994 kg

Mass of durians = 2.982kg

Answer 3

1. x = apples; 3x = pears; 6x = oranges
x + 3x + 6x = 960
10x = 960
x = 96

There are 6*96 = 576 oranges and 3*96 = 288 pears.
576 - 288 = 288 There are 288 more oranges than pears.

2. x = mass of mango; 2x = mass of papaya; 6x = mass of durian
x + 2x + 6x = 4.473
9x = 4.473
x = 0.497

The mango's mass is 0.497 kg (497 g) and the durian's mass is 6*0.497 = 2.982 kg. Their combined (total) mass is 3.479 kg.

3. x = height of bamboo stick; 2x = height of wooden pole; 8x = height of ladder
8x - x = 56
7x = 56
x = 8

The ladder is 8*8 = 64 meters tall, and the wooden pole is 2*8 = 16 meters tall. The combined (total) height of the two is 80 meters.

Answer 4

1. Pears = 3X
Apples = X
Oranges = 6X
3X + X + 6X
10X = 960
10X/10 = 960/10
X = 96
Oranges = 576
-Pears = 288
=288

2. Papaya = 2X
MAngo = X
Durian = 6X
2X + X + 6X = 9X
9X = 4473g
X = 497g
Durian + Mango = X + 6X
7X = 497 X 7
3479g
3kg. 479g.

3. L = 8X
WP = 2X
BS = X
8X - X
7X = 56
X = 8
L + WP = 8X + 2X
10X = 8 X 10
80m.

Answer 5

1. A- Apples
P- Pears
R- Oranges

960= a+p+r
p=3a
r=2p

r=2 (3a)
r= 6a

10a=960
a=96

Plug in the rest

Answer: 288 oranges

2. P+D+M= 4473 grams
P=2M
D=3P

D=6M

2M+6M=M=4473

Mango= 497


Mass of Durian and Mango- 3479 grams or 3 kg 479 g

3. L=4p
p=2b
L=b+56

L=8b
8b=b+56
b=8

p=16
L=64

Total Height= 80m

Answer 6

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Answer 7

1))x + 3x + 6x = 960
x = 96
oranges =576
pears = 288
apples =96

2))x + 2x + 6x = 4473
x = 497
mango = 479gms
durian = 2982gms

3)) 8x - x = 56
x = 8m
ladder = 64m
wooden pole = 16m
bamboo = 8m
l+w = 80m


plzz give the best ans...!!

Answer 8

(1)
x + 3x + 6x = 960
10x=960
x=960/10
x = 96
oranges =576
pears = 288
apples =96
*********************************************
(2)
x + 2x + 6x = 4473
9x=4473
x=4473/9
x = 497
mango = 479gms
durian = 2982gms
************************************************
(3)
8x - x = 56
7x=56
x=56/7
x = 8m
ladder = 64m
wooden pole = 16m
bamboo = 8m
length+width = 80m

Answer 9

the answer to your 1st question is 288.
2) 2kg and 982gms
3)ladder=64meters
wooden pole=16meters
bamboo=8meters

Answer 10

I would help you but that is cheating . at least you said it was for homework .