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Find the total number of cans offered at the given price for each store. Then, find the price per can by dividing both the numerator and the denominator of each rate by the value in the denominator.
Compare the unit prices found in the previous part of the exercise. Which shop has the lowest price for one can of lemonade?
| Shop | Unit Price |
|---|---|
| Shop Smart | $0.19/1can |
| Super Saver | $0.21/1can |
| Price Busters | $0.25/1can |
Shop Smart, see solution.
We are given offers for the price of cans of lemonade from 3 different shops. In this part of the exercise, we want to find the unit prices for the cans of lemonade at each store. Before we do that, we need to find the total number of cans that each store offers at their given price. Let's organize the given data in a table.
| Shop | Cans in a Pack | Packs | Price |
|---|---|---|---|
| Shop Smart | 24 | 2 | $9 |
| Super Saver | 12 | 4 | $10 |
| Price Busters | 12 | 3 | $9 |
To find the total number of cans offered at the given price, we need to multiply the number of cans in a pack by the number of packs. Let's do it! Shop Smart:& 24 * 2 = 48 Super Saver:& 12 * 4 = 48 Price Busters:& 12 * 3 = 36 Before we find the unit prices, we need to find the rates that compare the price at each store to the number of cans in the deal. We can do this by dividing the price by the number of cans offered at each store. Then we will divide both the numerator and the denominator of each rate by the value in the denominator. Let's do it!
| Shop | Rate | Unit Price |
|---|---|---|
| Shop Smart | $9/48 cans | $9÷ 48/48cans÷ 48≈$0.19/1can |
| Super Saver | $10/48 cans | $10÷ 48/48cans÷ 48≈$0.21/1can |
| Price Busters | $9/36 cans | $9÷ 36/36cans÷ 36=$0.25/1can |
We found the unit price at each store!
Shop Smart:& $0.19/1can [1.2em] Super Saver:& $0.21/1can [1.2em] Price Busters:& $0.25/1can The unit prices tell us that for 1 can of lemonade, we would pay $0.19 at Shop Smart, $0.21 at Super Saver, and $0.25 at Price Busters. Therefore, Shop Smart has the lowest price for a can of lemonade, so Mei, Pilar, and David should buy lemonade there.
