Q2 Ratios

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Question 1

Solve the following to the nearest whole number:

a)

A piece of $\var{material}$ $\var{lent}$ cm long is cut into three pieces in the ratio of $\var{numberone}$ to $\var{numbertwo}$ to $\var{numberthree}$ . Determine the lengths of the three pieces.

Round your answer to 2 decimal places.Expected answer:cm

Imagine that the $\var{material}$ is divided into $\var{numberone}$ + $\var{numbertwo}$ + $\var{numberthree}$ pieces. The first piece should be $\var{numberone}$ times its length. The second piece should be $\var{numbertwo}$ times this length. The third piece should be $\var{numberthree}$ times this length.

Double check: When you add up your pieces they should add to $\var{lent}$ .

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b)

Divide $\var{total}$ in the ratio $\var{numberone1}$ : $\var{numbertwo1}$ : $\var{numberfour}$ .

Expected answer:

Divide $\var{total}$ into $\var{numberone1}$ + $\var{numbertwo1}$ + $\var{numberfour}$ parts. Each of these parts contain $\var{k}$ .

Find $k \times \var{numberone}$

Find $k \times \var{numbertwo}$

Find $k \times \var{numberfour}$

To double check, add these results together. You should get $\var{total}$ .

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c)

Divide € $\var{money}$ in the ratio $\var{ratioab[0]}:\var{ratioab[1]}:\var{ratioc}$

(Calculate to 2 decimal place!!)

€Round your answer to 2 decimal places.Expected answer: : €Round your answer to 2 decimal places.Expected answer: : €Round your answer to 2 decimal places.Expected answer:

Just as before, add all parts together and divide by this.

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Advice

Part 1:

Add the ratio numbers and then divide the length by the summed total

$\frac{\var{lent}}{\var{summ}}$

Then multiply each peice by the ratio length

$\var{numberone} \times \var{ratio}$

$\var{numbertwo} \times \var{ratio}$

$\var{numberthree} \times \var{ratio}$

Part 2:

Use the same method as in part 1

$\frac{\var{total}}{(\var{numberone1}+\var{numbertwo1}+\var{numberfour})}$

$\var{numberone} \times \var{k}$

$\var{numbertwo} \times \var{k}$

$\var{numberfour} \times \var{k}$

Part 4:

$(\frac{\var{money}}{(\var{ratioab[0]} + \var{ratioab[1]} + \var{ratioc})}) \times \var{ratioab[0]} = \var{ans31}$

$(\frac{\var{money}}{(\var{ratioab[0]} + \var{ratioab[1]} + \var{ratioc})}) \times \var{ratioab[1]} = \var{ans32}$

$(\frac{\var{money}}{(\var{ratioab[0]} + \var{ratioab[1]} + \var{ratioc})}) \times \var{ratioc} = \var{ans33}$

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Q2 Ratios

a)

b)

c)

Advice