Two teachers purchase supplies for their classrooms.
1 answer:
Answer:
Cost of One Journal = $3.99
Cost of One pen = $0.59
Step-by-step explanation:
Let
Cost of One Journal = x
Cost of One pen = y
We can make equation from given statements.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
Now solving these equations to find the value of x
Multiply eq(1) with 2 and eq(2) with 5
We get the value of x is: x=3.99
Now, putting value of x in equation 1 to find value of y.
So, we get the value of y: y = 0.59
Now, finding the costs:
Cost of One Journal = x = $3.99
Cost of One pen = y = $0.59
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The share of Natasha is £ 42
<em><u>Solution:</u></em>
£70 is divided between Natasha, Richard & Stephen
Total amount = 70
Let the share of natasha be "x"
Let the share of richard be "y"
Let the share of stephen be "z"
Natasha gets twice as much as Richard
x = 2y ------ eqn 1
Richard gets three times as much as Stephen
y = 3z
----- eqn 2
Total amount = 70
share of natasha + share of richard + share of stephen = 70
x + y + z = 70
Substitute eqn 1 and eqn 2
Substitute y = 21 in eqn 1
x = 2y = 2(21) = 42
x = 42
Thus natasha gets £ 42
Answer:
Step-by-step explanation:
I attached an image to aid the understanding of the question.
Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:
It remains the area of the shaded square with side S.
From the question, we have the following ratio:
I did not add ± because length is always positive, so the case of negative is eliminated.
Now the areas of S is
Therefore, the total area of the shaded squares is
