Describe how proportions could be used to compare two products: If a 24-ounce can of pears sells for 1.90 and a 32 ounce can sells for $2.65, which one is the better buy?
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I would figure out price per ounce.
A. 1.90/24=?
B. 2.65/32=?
Hmm... Proportions? well the first thing you need to know about proportions is that is also known as ratios. For example, if you are baking a cake, you might need 3 eggs for every 6 cups of flour. So, you put the 3 eggs as the numerator and the 6 cups of flour as the denominator. Like this
3/6 = 1/2.
This means that for every 1 egg, 2cups of flour is needed. so now you know how many cups of flour to use for 10 eggs.
Next, for you question, Firstly, take $1.90 and divide it by 24, like this
1.90/24 = 0.0791666
this means that for every ounce of pear in the can, it cost exactly $0.079166 cents, Now you compare this with the next value of canned pears which is
2.65/32 = 0.0828125
so, for every ounce of pear in can number 2, cost $0.0828125, so with this, you can see that it cost slightly more for each ounce of pear for the price of 2.65, while it cost less for the canned pears that cost 1.90 for 24 ounces.
So there you have your answer
To compare the prices of the two products, we can use proportions. Proportions are a way of showing the relationship between two quantities or values. In this case, we'll compare the prices per ounce of the two products to determine which one is the better buy.
To find the price per ounce, we use the following proportion:
Price of the product / Number of ounces = Price per ounce
Let's start with the 24-ounce can of pears. The price is $1.90. We can set up the proportion as:
1.90 / 24 = x / 1
To solve for x (the price per ounce), we cross-multiply:
1.90 * 1 = 24 * x
1.90 = 24x
Dividing both sides by 24, we get:
x = 1.90 / 24
x ≈ 0.08 (rounded to two decimal places)
So, the price per ounce for the 24-ounce can is approximately $0.08.
Now, let's calculate the price per ounce for the 32-ounce can of pears. The price is $2.65. We'll set up the proportion as:
2.65 / 32 = x / 1
Cross-multiplying gives us:
2.65 * 1 = 32 * x
2.65 = 32x
Dividing both sides by 32, we get:
x = 2.65 / 32
x ≈ 0.08 (rounded to two decimal places)
So, the price per ounce for the 32-ounce can is also approximately $0.08.
Comparing the two price per ounce values, we see that they are the same. Therefore, both the 24-ounce and 32-ounce cans have the same price per ounce. In terms of cost, the better buy depends on the desired quantity. If you need less than 24 ounces, then the 32-ounce can would be the better buy, while if you need more than 24 ounces, then the 24-ounce can would be the better buy.