Write an equation and solve to find the solution to the following problem.
You have $27 to spend at the mall and a coupon for $6 off at your favorite store. A t-shirt costs $11. How many t-shirts can you buy using your coupon and money?
1 shirt
2 shirts
3 shirts
4 shirts
Let x be the number of shirts you can buy. The cost of each shirt is $11, and you have a coupon for $6 off. So, the equation is given by:
11x - 6 = 27
Simplifying the equation:
11x = 33
Dividing both sides by 11:
x = 3
You can buy 3 shirts using your coupon and money.
Let's solve step-by-step to find the solution to the problem.
1. First, identify the cost of the t-shirt after applying the coupon. The coupon gives you $6 off, so the cost of the t-shirt would be $11 - $6 = $5.
2. Next, determine how many t-shirts can be bought using the total money available. You have $27, and each t-shirt costs $5.
To find the maximum number of t-shirts, divide the total money by the cost of one t-shirt: $27 / $5 = 5.4
However, we cannot buy a fraction of a t-shirt, so we round down to the nearest whole number.
Therefore, you can buy a maximum of 5 t-shirts with your money and coupon.
So, the correct answer is 4 shirts since you can't buy 5 shirts without going over the budget.
To find out how many t-shirts you can buy, we need to set up an equation and solve for the number of shirts.
Let's denote the number of shirts you can buy as "x". We know that each shirt costs $11 and you have a coupon for $6 off. This means you will get a discount of $6 for each shirt you buy. So, the cost of each shirt after applying the coupon is $11 - $6 = $5.
To find the total cost of the shirts you can buy, multiply the number of shirts (x) by the cost per shirt ($5):
Total cost = x * $5
The total cost cannot exceed the amount of money you have, which is $27. Therefore, we can set up the equation:
x * $5 ≤ $27
Now, we can solve for x:
x ≤ $27 / $5
Dividing $27 by $5 gives us:
x ≤ 5.4
Since we can't have a fraction of a shirt, the maximum number of shirts you can buy is 5. Therefore, you can buy a maximum of 5 shirts with your coupon and money.
So, the answer is 4 shirts.