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3.02 Compare rates

Interactive practice questions

Which of the following is cheaper per item: $6$6 pencil cases for $\$24$$24 at Shop ZYX or $9$9 pencil cases for $\$54$$54 at Shop PWR?

a

What is the cost of a single pencil case at Shop ZYX?

b

What is the cost of a single pencil case at Shop PWR?

c

Hence which is the best place to buy pencil cases, if you want the best price per item?

Shop ZYX

A

Shop PWR

B
Easy
1min

Which is cheaper: $148$148 cherimoyas for $\$355.20$$355.20 at Shop ZYX or $252$252 cherimoyas for $\$655.20$$655.20 at Shop PWR?

Easy
1min

Peter runs daily and usually covers his $19$19 km in $75$75 minutes.

He also enters half marathon and full marathon events. The last time he ran the Sydney half marathon, an event $21$21 km in length, it took him $126$126 minutes.

Easy
3min

Two shearers wanted to work out who was the faster shearer.

Jenny sheared $144$144 sheep over $6$6 days, and Sean sheared $115$115 sheep in $5$5 days.

Easy
1min
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Outcomes

ACMEM015

convert units of rates occurring in practical situations to solve problems

ACMEM016

use rates to make comparisons; for example, using unit prices to compare best buys, comparing heart rates after exercise

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