Lesson · Grade 8 · Mathematics
Coupons and deals: which offer saves more?
- Grade 8
- Mathematics
- 2 min 29 s
- British Columbia
- BC8-MA-44
Juice costs $6 a bottle, and two deal cards work out the cost of 3 bottles: "buy 2, get 1 free" comes to $12 ($4 each) and "30% off" comes to $12.60 ($4.20 each). Deal A wins for 3 bottles, Deal B wins for 1, buying extra just to use a deal is shown as a mistake, and a $2 coupon on a $9 item works out to about 22% off before the recap: the best buy costs least for what you need.
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In one sentence
The question this lesson answers
Juice is $6 a bottle, and you need 3 bottles.
Deal A is buy 2, get 1 free. Deal B is 30% off. Which is the best buy, the one that costs least?
Transcript
What the lesson says
Juice is $6 a bottle, and you need 3 bottles.
Deal A is buy 2, get 1 free. Deal B is 30% off. Which is the best buy, the one that costs least?
With no deal, 3 times $6 is $18, the full price.
Deal A means you pay for 2 bottles and get the third one free.
So Deal A costs 2 times $6, which is $12 for 3 bottles.
The unit price is the cost of one item. For Deal A, $12 divided by 3 is $4 a bottle.
Deal B is a discount, an amount taken off the price. 30% of $6 is 0.3 times 6, which is $1.80.
Take that off: $6 minus $1.80 leaves $4.20 a bottle. Check: you pay 70%, and 0.7 times $6 is also $4.20.
For 3 bottles, Deal B costs 3 times $4.20, which is $12.60.
Side by side, Deal A costs $12 and Deal B costs $12.60.
Against the full $18, Deal A saves $6 and Deal B saves $5.40. Deal A is the best buy for 3.
But if you need only 1 bottle, Deal A gives nothing free, so you pay $6.
Deal B charges $4.20, which is $1.80 less, so for 1 bottle, Deal B is the best buy.
A common mistake is buying extra just to use a deal. Paying $12 for 3 bottles is not a saving if you need only 1.
A coupon takes a fixed amount off. To compare it with a percent deal, change it to a percent.
A $2 coupon on a $9 item: 2 divided by 9 is about 0.22, so about 22% off.
For 3 bottles Deal A wins, and for 1 bottle Deal B wins. The best buy costs least for what you need.
Curriculum
Where this fits
- British Columbia, Grade 8
Mathematics, Financial literacy: financial literacy: best buysBC8-MA-44
The outcomes and strands follow the British Columbia curriculum.
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