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3 years ago

8

A worker at a clothing company uses 200 buttons to make 50 shirts.At this rate, how many buttons would the worker use to make 35

0 shirts ?

1 answer:

erik [133]3 years ago

3 0

$\begin{array}{ccc}200\ buttons&-&50\ shirts\\\\x\ buttons&-&350\ shirts\end{array}\ \ |cross\ multiply\\\\\\50x=200\times350\ \ \ \ |divide\ both\ sides\ by\ 50\\\\x=\frac{200\times350}{50}\\\\x=4\times350\\\\\boxed{x=1400}\\\\\boxed{\boxed{Answer:1400\ buttons/350\ shirts}}$

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Maria has recently retired and requested an extra $444.00 per year in income. She has $ 5400 to invest in an A-rated bond that

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Step-by-step explanation:

We have been given that Maria has recently retired and requested an extra $444.00 per year in income.

We can represent this information in an equation as:

$A+B=5400...(1)$

She has $5400 to invest in an A-rated bond that pays 10% per annum or a B-rated bond paying 6% per annum.

$0.10A+0.06B=444...(2)$

From equation (1), we will get:

$A=5400-B$

Substitute this value in equation (2):

$0.10(5400-B)+0.06B=444$

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$540-540-0.04B=444-540$

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Therefore, Maria should invest $2400 in A-rated bond.

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$2400-2400+B=5400-2400$

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Therefore, Maria should invest $3000 in B-rated bond.

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3 years ago