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3 years ago

A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

5 0

9514 1404 393

Answer:

6 # plastic bricks
4 # wooden blocks

Step-by-step explanation:

Let p represent the number of pounds of plastic bricks in the mix. Then the number of pounds of wooden blocks is (10-p), and the total cost is ...

10p +5(10-p) = 80

5p = 30 . . . . . . . . . subtract 50

p = 6 . . . . divide by 5; there are 6 pounds of plastic bricks in the mix

4 pounds of wooden blocks and 6 pounds of plastic bricks should be used to make a 10-lb mix worth $80.

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Answer:

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Step-by-step explanation:

Let the Area of smaller watch face be $A_1$

Also Let the Area of Larger watch face be $A_2$

Also Let the radius of smaller watch face be $r_1$

Also Let the radius of Larger watch face be $r_2$

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$\frac{A_1}{A_2} =\frac{16}{25}$

We need to find the ratio of the radius of the smaller watch face to the radius of the larger watch face.

Solution:

Since the watch face is in circular form.

Then we can say that;

Area of the circle is equal 'π' times square of the radius 'r'.

framing in equation form we get;

$A_1 = \pi {r_1}^2$

$A_2 = \pi {r_2}^2$

So we get;

$\frac{A_1}{A_2}= \frac{\pi {r_1}^2}{\pi {r_2}^2}$

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$\frac{16}{25}= \frac{\pi {r_1}^2}{\pi {r_2}^2}$

Now 'π' from numerator and denominator gets cancelled.

$\frac{16}{25}= \frac{{r_1}^2}{{r_2}^2}$

Now Taking square roots on both side we get;

$\sqrt{\frac{16}{25}}= \sqrt{\frac{{r_1}^2}{{r_2}^2}}\\\\\frac{4}{5}= \frac{r_1}{r_2}$

Hence the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

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