Word problem.. i need help. Due at midnight
1 answer:
The Brady family received 1 letter on July 28.
Step-by-step explanation:
Step 1:
Assume a = the number of letters, b = the number of bills, c = the number of ads, and d = the number of magazines.
From the question, they got 15 pieces of mail that day so
They got 5 more magazines than bills so
The got the same number of letters as ads so
They got 3 more bills than ads so
Step 2:
As we have only one equation to solve the values, we need to make every term in terms of a single term.
We make everything in terms of c.
So
Substituting all this in the equation, we get
Step 3:
Substituting c = 1 in other terms, we get
and
As a = 1, they received 1 letter that day.
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For this case we propose a system of equations:
x: Let the variable representing the age of the first child of the Smiths
y: Let the variable representing the age of the second child of the Smiths
According to the data of the statement we have to:
From the first equation we have to:
We substitute in the second equation:
We find the solutions by factoring:
We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.
Thus, we have that the factorized equation is:
Thus, the solutions are:
So, we can take any of the solutions:
With
Then
Therefore, the ages of the children are 11 and 12 respectively.
Answer:
The ages of the children are 11 and 12 respectively.