Paige spent a total of $60 on clothing items. She bought 2 pairs of shorts for $10 each. She bought some T-shirts for $4 each. She also bought some sandals for $12 each. How many of each clothing item did she purchase?
4 t shirts. 2 sandals
thanks was confusing to figure out. I was going earlier with 7 shirts.
To determine how many of each clothing item Paige purchased, let's break down the information given:
1. Paige bought 2 pairs of shorts for $10 each. Therefore, the total spent on shorts is 2 * $10 = $20.
2. Paige also bought some T-shirts for $4 each. Let's assume she bought x T-shirts. So, the total spent on T-shirts is x * $4 = $4x.
3. Additionally, Paige bought some sandals for $12 each. Let's assume she bought y sandals. Thus, the total spent on sandals is y * $12 = $12y.
According to the information given, Paige spent a total of $60 on clothing items. Therefore, the sum of the amounts spent on each item should be equal to $60:
$20 + $4x + $12y = $60
Now, we need to find the values of x and y (number of T-shirts and sandals, respectively) that satisfy this equation.
By rearranging the equation, we have:
$4x + $12y = $60 - $20
Simplifying the right side of the equation, we get:
$4x + $12y = $40
Dividing both sides of the equation by $4, we have:
x + 3y = 10
Now, we need to find the values of x and y that satisfy this equation. Let's solve it using trial and error:
If y = 1, then x + 3(1) = 10,
x + 3 = 10,
x = 7.
If y = 2, then x + 3(2) = 10,
x + 6 = 10,
x = 4.
If y = 3, then x + 3(3) = 10,
x + 9 = 10,
x = 1.
Since we assumed that Paige bought x T-shirts and y sandals, the solutions are x = 7, y = 1; x = 4, y = 2; x = 1, y = 3.
Therefore, Paige could have purchased either 7 T-shirts and 1 pair of sandals, 4 T-shirts and 2 pairs of sandals, or 1 T-shirt and 3 pairs of sandals.