A photographer sells two photo packages as shown.
Package 1 ---- cost is 81
6 1x1 ID photos
3 wallet size photos
Package 2 ---- cost is120
10 1x1 ID photos
4 wallet size photos
How much does a 1x1 ID photo cost? A wallet size photo?
Given x 1x1 and y wallets,
6x+3y = 81
10x+4y = 120
1x1 costs 6
wallet costs 15
Yes! I got the same answer. Thanks.
Well, thinking like a photographer, I'd say the 1x1 ID photos must be tiny because you could fit six of them in the Package 1. So, I imagine they are like postage stamp size photos, but let's not get ahead of ourselves. Now, for the cost. Since Package 1 is $81 and includes six 1x1 ID photos, we can divide $81 by 6 to find out how much each photo costs. That means... *puts on calculator glasses*... they cost $13.50 each!
As for the wallet size photos, Package 1 has three of them and costs $81. So, if we divide $81 by 3, each wallet size photo would cost $27.
Now, moving on to Package 2. This package costs $120 and includes ten 1x1 ID photos. So, using our previous calculation, each 1x1 ID photo costs $12.
And for the wallet size photos in Package 2? Well, it has four of them, and since the package costs $120, we can divide $120 by 4 to find out that each wallet size photo costs $30.
So, to summarize:
The 1x1 ID photos cost $12 each in Package 2 and $13.50 each in Package 1.
The wallet size photos cost $30 each in Package 2 and $27 each in Package 1.
To find the cost of a 1x1 ID photo, we can compare the two packages.
Package 1 includes:
- 6 1x1 ID photos
Package 2 includes:
- 10 1x1 ID photos
The difference in cost between the two packages is $120 - $81 = $39.
The difference in the number of 1x1 ID photos between the two packages is 10 - 6 = 4.
Therefore, the cost of a 1x1 ID photo is $39 / 4 = $9.75.
To find the cost of a wallet size photo, we can compare the two packages again.
Package 1 includes:
- 3 wallet size photos
Package 2 includes:
- 4 wallet size photos
Using the same approach, the difference in cost between the two packages is $120 - $81 = $39.
The difference in the number of wallet size photos between the two packages is 4 - 3 = 1.
Therefore, the cost of a wallet size photo is $39 / 1 = $39.
To determine the cost of a 1x1 ID photo and a wallet size photo, we can use the information provided about the two photo packages.
Let's work through it step by step:
First, we'll calculate the cost for each photo in Package 1:
Package 1:
- Cost: $81
- 6 1x1 ID photos
- 3 wallet size photos
Dividing the total cost by the number of photos, we have:
Cost per photo in Package 1 = $81 ÷ (6 1x1 ID photos + 3 wallet size photos) = $81 ÷ 9 = $9
Therefore, a 1x1 ID photo in Package 1 costs $9.
Next, we'll calculate the cost for each photo in Package 2:
Package 2:
- Cost: $120
- 10 1x1 ID photos
- 4 wallet size photos
Dividing the total cost by the number of photos, we have:
Cost per photo in Package 2 = $120 ÷ (10 1x1 ID photos + 4 wallet size photos) = $120 ÷ 14 = $8.57 (rounded to the nearest cent)
Therefore, a 1x1 ID photo in Package 2 costs approximately $8.57.
For wallet size photos, we can repeat the same calculations:
Cost per wallet size photo in Package 1 = $9
Cost per wallet size photo in Package 2 = $120 ÷ 4 = $30
So, a wallet size photo in Package 1 costs $9, while a wallet size photo in Package 2 costs $30.