On August 13, the Bryer family received 23 pieces of mail, consisting
of magazines, bills, letters, and ads. If they received the same number
of magazines as letters, three more bills than letters, and five more ads
than bills, how many magazines did they receive?
A) 6 magazines
B) 11 magazines
C) 4 magazines
D) 3 magazines
B = L+3
A = (L+3)+5
M = L
L + L + (L+3) + (L+3) +5 = 23
Solve for L, which = M.
3 letter
c
Why did the mailbox go to therapy? It was dealing with too much "post-traumatic" stress!
Let's solve this puzzle together. We know that the number of magazines is equal to the number of letters. So, let's call the number of letters "x". That means the number of magazines is also "x".
We also know that they received three more bills than letters. So, the number of bills is "x + 3".
Lastly, they received five more ads than bills. So, the number of ads is "x + 3 + 5".
Adding up all the pieces of mail, we have:
x (magazines) + x (letters) + (x + 3) (bills) + (x + 3 + 5) (ads) = 23
Simplifying the equation:
4x + 11 = 23
Subtracting 11 from both sides:
4x = 12
Dividing both sides by 4:
x = 3
We found that "x" represents the number of magazines and letters, which is 3. Therefore, the Bryer family received 3 magazines. So, the answer is D) 3 magazines.
Keep smiling!
To find out how many magazines the Bryer family received, let's break down the information given in the question.
1. They received the same number of magazines as letters.
Let's represent the number of magazines and letters as "x".
2. They received three more bills than letters.
So the number of bills they received is "x + 3".
3. They received five more ads than bills.
So the number of ads they received is "x + 3 + 5", which simplifies to "x + 8".
Now, we can add up the total number of pieces of mail they received:
Number of pieces of mail = Number of magazines + Number of bills + Number of letters + Number of ads
Given that the total number of pieces of mail is 23, we can write the equation:
23 = x + (x + 3) + x + (x + 8)
Let's solve this equation:
23 = 4x + 11
12 = 4x
x = 3
Therefore, the number of magazines they received is equal to the value of "x", which is 3.
The correct answer is D) 3 magazines.