Question

I need help!!

Here are the prices for cans of juice that are the same brand and the same size at different stores.

1. Which store offers the best deal?
Store X: 4 cans for $2.48 Store Y: 5 cans for $3.00 Store Z: 59 cents per can

2. Explain your reasoning.

Answer 1

Answers:

1. Store Z offers the best deal
2. See explanation below

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To find the best deal, we'll need to find the unit price. This is the price for one can, or the price per can.

To find the price per can, we divide the total cost over the number of cans.

• Store X: unit price = 2.48/4 = 0.62 dollars per can = 62 cents per can
• Store Y: unit price = 3.00/5 = 0.60 dollars per can = 60 cents per can
• Store Z: unit price = 59 cents per can, no need to do any work here since we are given this value.

We see that Store Z offers the best deal since the unit price (59 cents per can) is the cheapest of the three stores.

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Extra info (optional section)

If you're curious why we divide in the order we did, you can think of it like this:

Store X charges $2.48 for 4 cans. That means we can set up the ratio shown below

4 cans : 2.48 dollars

The unit price applies to 1 can. To turn that "4 cans" into "1 can", we divide both sides by 4

4 cans : 2.48 dollars

4/4 cans : 2.48/4 dollars .... divide both sides by 4

1 can : 0.62 dollars

1 can : 62 cents

The same sort of steps will be done for Store Y as well. So that is why we divide the total cost over the number of cans to get the unit price.

Answer 2

59 cents per can is the best deal. To find out why you can divide and find the answer. 2.48/4=0.62 in this instance each can costs 62 cents another example 3/5=costs 60 cents per can. this means that the deal with 59 cents or store z offers the best deal.