Aldo and Shamir bought 11 shirts combined. Aldo bought 4 less than twice as many shirts as Shamir. SOLVE to find how many shirts each person bought
Let's assume Shamir bought x shirts.
According to the problem, Aldo bought 4 less than twice as many shirts as Shamir, so Aldo bought (2x-4) shirts.
The total number of shirts bought is the sum of the number of shirts bought by Aldo and Shamir, which is (2x-4) + x = 11.
Combining like terms, we get 3x - 4 = 11.
Adding 4 to both sides of the equation, we get 3x = 15.
Dividing both sides of the equation by 3, we get x = 5.
Therefore, Shamir bought 5 shirts and Aldo bought (2*5- 4) = 6 shirts.
Let's solve the problem step-by-step.
Step 1: Assign variables to the unknown quantities.
Let's say Aldo bought x shirts and Shamir bought y shirts.
Step 2: Translate the given information into equations.
We know that the total number of shirts Aldo and Shamir bought combined is 11 shirts:
x + y = 11
We also know that Aldo bought 4 less than twice as many shirts as Shamir:
x = 2y - 4
Step 3: Solve the system of equations.
Substitute the value of x from the second equation into the first equation:
(2y - 4) + y = 11
Combine like terms:
3y - 4 = 11
Add 4 to both sides of the equation:
3y = 15
Divide both sides of the equation by 3:
y = 5
Substitute the value of y back into the second equation to find x:
x = 2(5) - 4
x = 10 - 4
x = 6
Therefore, Aldo bought 6 shirts and Shamir bought 5 shirts.
To solve the problem, let's break it down into steps:
Step 1:
Let's assume the number of shirts Shamir bought is x.
Step 2:
According to the problem, Aldo bought 4 less than twice as many shirts as Shamir. This can be written as: Aldo = 2x - 4.
Step 3:
The total number of shirts they bought is given as 11. So the equation becomes: Shamir + Aldo = 11.
Step 4:
Substitute the value of Aldo from Step 2 into the equation from Step 3: x + (2x - 4) = 11.
Step 5:
Simplify the equation: 3x - 4 = 11.
Step 6:
Add 4 to both sides of the equation: 3x - 4 + 4 = 11 + 4.
Step 7:
Simplify the equation further: 3x = 15.
Step 8:
Divide both sides of the equation by 3: 3x/3 = 15/3.
Step 9:
Simplify to find the value of x: x = 5.
Step 10:
Substitute the value of x into the equation from Step 2 to find the value of Aldo: Aldo = 2 * 5 - 4 = 6.
So, Shamir bought 5 shirts, and Aldo bought 6 shirts.