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vlada-n [284]
2 years ago
7

One-eighth of the parts tooled by a machine are rejects. How many parts were tooled

Mathematics
1 answer:
abruzzese [7]2 years ago
3 0

There were 3,496 parts in total that were tooled by the machine.

Assuming the total number of parts tooled is x, that means that 1/8 of x is 437 parts because that was the proportion of the total that was rejected.

To find the total number of parts therefore, use the formula:

<em>Proportion of rejects × x = Number of parts rejected </em>

1/8 × x = 437

1/8x = 437

x = 437 ÷ 1/8

x = 437 x 8

x = 3,496 parts

In conclusion, there was 3,496 parts.

<em>Find out more at brainly.com/question/876506.</em>

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The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

<em><u>Solution:</u></em>

Let d" be the price of 1 drink

Let "p" be the price of 1 pretzel

Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50

<em><u>Therefore, we can frame a equation as,</u></em>

3 x price of 1 drink + 10 x price of 1 pretzel = 54.50

3 \times d + 10 \times p = 54.50

3d + 10p = 54.5 ---------- eqn 1

Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25

9 x price of 1 drink + 5 x price of 1 pretzel = 57.25

9 \times d + 5 \times p = 57.25

9d + 5p = 57.25 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 3

9d + 30p = 163.5 ----- eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

9d + 30p = 163.5

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<em><u>Substitute p = 4.25 in eqn 1</u></em>

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