Question

An online boutique is having a special on personalized baby items. On Monday, they sold 8 personalized baby blankets and 4 personalized hooded towels, for a total of $284 in receipts. The following day, they received orders for 8 personalized baby blankets and 22 personalized hooded towels, which brought in a total of $626. How much does each item sell for?

Answer 1

To find out the price of each item, we set up two linear equations using the given data. By using the elimination method, we found out that each personalized baby blanket costs approximately $23.57 and each personalized hooded towel costs approximately $24.43.

Step-by-step explanation:

The question involves solving a system of linear equations to find the price of each personalized baby item. We create two equations based on the information given:

1. For Monday: 8B + 4H = $284
2. For Tuesday: 8B + 22H = $626

We can denote the price of each personalized baby blanket as B and the price of each personalized hooded towel as H. To solve the system, we can use the method of substitution or elimination. In this case, we can subtract the first equation from the second equation to eliminate variable B and find the price of H:

14H = $342

Dividing both sides by 14 gives us H = $24.43 (rounded to two decimal places). Substituting H back into the first equation and solving for B yields B = $23.57 (rounded to two decimal places). Therefore, each personalized baby blanket sells for approximately $23.57, and each personalized hooded towel sells for approximately $24.43.