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3 years ago

James asked 60 pupils which drink they liked best from cola, milk and water.

Mathematics

1 answer:

Olin [163]3 years ago

6 0

Answer:

Step-by-step explanation:

There are 60 pupils in the survey

32 are boys, so we assume 28 are girls

12 of the boys said cola was their favourite

4 boys liked water best.

That is a total of 16 boys who prefer either cola or water out of 32 total boys

There are 16 boys leftover who must have milk as there favourite

9 girls liked water best

21 pupils altogether said milk was there favourite. We know there are 16 boys who said milk was there favourite, meaning 5 of these pupils must be girls.

That means 9 girls have water as their favourite and 5 have milk as their favourite, a total of 14

We know there are 28 girls total. That means 14 of them must have listed cola as their favourite drink.

There are 14 girls and 12 boys who said cola was their favourite, a total of 26 pupils

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I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult pack

anastassius [24]

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

8 0

3 years ago

Solve for x. any help would be appreciated thanks

WARRIOR [948]

The correct answer is x=5

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3 years ago

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Please help!!!! Tell me whether it’s a equation or not pleasr

goldfiish [28.3K]

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3 years ago

40 degree, 3x, and 4x solve for x

Alex73 [517]

Answer:

The value of x would be 20

Step-by-step explanation:

To solve this triangle, we need to first note that all triangles have 180 degrees. So we can add these all together and set equal to 180.

40 + 3x + 4x = 180

40 + 7x = 180

7x = 140

x = 20

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3 years ago

Wilda can do a job in 4 hours that karla needs 5 hours to do. If wilda works 1 hour before karla joins her, how long will it tak

mezya [45]

Wilda can do the job in 4 hours ... she does 1/4 (or 0.25) of it each hour.
Karla can do it in 5 hours ... she does 1/5 (or 0.2) of it each hour.

Wilda worked alone for 1 hour ... 0.25 of the job was done before her helper
arrived. So only 0.75 of the job remained to be done together.

Working together, they accomplish (0.25 + 0.2) = 0.45 of the job in 1 hour.

How many times do they need to do 0.45 of the job in order to finish
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0.75 / 0.45 = <em>1 and 2/3</em>

After Wilda worked alone for 1 hour and Karla came along to join her, it will
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3 years ago