Question

An online boutique is having a special on personalized baby items. On Monday, they sold 25 personalized baby blankets and 14 personalized hooded towels, for a total of $863 in receipts. The following day, they received orders for 23 personalized baby blankets and 10 personalized hooded towels, which brought in a total of $745. How much does each item sell for? Blankets sell for $ apiece, and hooded towels sell for $ apiece. Save answer

Answer 1

Each personalized baby blanket sells for $23.37, and each personalized hooded towel sells for $19.91.

Step-by-step explanation:

To find the price of each item, we can set up a system of equations using the given information:

Let x be the price of each personalized baby blanket, and let y be the price of each personalized hooded towel.

We can write the following equations:

1. 25x + 14y = 863 (equation 1)
2. 23x + 10y = 745 (equation 2)

To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method:

• Multiply equation 1 by 2 and equation 2 by 5 to eliminate the y variable:

• 50x + 28y = 1726 (equation 3)
• 115x + 50y = 3725 (equation 4)

Now, subtract equation 3 from equation 4:

65x + 22y = 1999

Divide both sides by 22:

3x + y = 90.86

Now, substitute this value of y into equation 2:

23x + 10(90.86 - 3x) = 745

Simplify the equation:

23x + 908.6 - 30x = 745

Combine like terms:

-7x = -163.6

Divide both sides by -7:

x = 23.37

Therefore, each personalized baby blanket sells for $23.37.

To find the price of the personalized hooded towels, substitute this value of x into equation 1:

25(23.37) + 14y = 863

Simplify the equation:

584.25 + 14y = 863

Subtract 584.25 from both sides:

14y = 278.75

Divide both sides by 14:

y = 19.91

Therefore, each personalized hooded towel sells for $19.91.