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hoa [83]
3 years ago
13

URGENT!!!!!

Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

h=20w

in one week hector works 20 hours

in two hector works 40 etc


h = hours and w = weeks. the money is just extra information.

h=20w works because if it has been two weeks we substitute the w with the number 2 and can solve

h=20(2)

h=20x2

h=40

This proves that the equation is true

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Answer:

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Step-by-step explanation:

Let x be the pens and y be the pencils

Given:

Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.

Total pens and pencils is 22

So, x+y=22----------------(1)

And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.

0.75x+0.40y=11.95------------(2)

solve equation 1 and equation 2 for x and y.

From equation 1.

x+y=22

y=22-x----------------(3)

put y value in equation 2.

0.75x+0.4(22-x)=11.95

0.75x+0.4\times 22-0.4x=11.95

0.75x+8.8-0.4x=11.95

0.75x-0.4x=11.95-8.8

0.35x=3.15

x=\frac{3.15}{0.35}

x=9

Now substitute x value in equation 3.

y=22-9

y=13

So, he buy 13 pencils.

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