the number of pages is a 2-digit number. the number of photos on a page is a 1- digit number. the number of pages is 60 more than the number of photos on a page. the number of pages is divided by the number of photos on a page is 16. What is the number of pages?????????
To find the number of pages, let's use algebraic equations to set up a system of equations based on the given information:
Let's call the number of pages "P" and the number of photos on a page "N."
From the first statement, we know that the number of pages is a 2-digit number, so we can write the equation:
10 <= P <= 99.
From the second statement, we know that the number of photos on a page is a 1-digit number, so we can write the equation:
1 <= N <= 9.
From the third statement, we know that the number of pages is 60 more than the number of photos on a page, so we can write the equation:
P = N + 60.
From the fourth statement, we know that the number of pages divided by the number of photos on a page is 16, so we can write the equation:
P / N = 16.
To find the value of P, we can substitute the value of P in terms of N from the third equation into the fourth equation:
(N + 60) / N = 16.
Now, let's solve this equation for N:
N + 60 = 16N.
60 = 15N.
N = 4.
Substituting this value of N back into the third equation, we can find the value of P:
P = N + 60 = 4 + 60 = 64.
Therefore, the number of pages is 64.