Respuesta :
Using a system of equations, it is found that he had 181 digital cameras at first.
What is a system of equations?
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of digital cameras.
- Variable y: Number of manual cameras.
Initially, there was of total of 240 digital and manual cameras, hence:
x + y = 240 -> y = 240 - x.
After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left, hence:
x - 82 = 3(y - 26).
Since y = 240 - x:
x - 82 = 3(y - 26)
x - 82 = 3(240 - x - 26)
x - 82 = -3x + 642
4x = 724.
x = 724/4
x = 181.
Hence, he had 181 digital cameras at first.
More can be learned about a system of equations at https://brainly.com/question/24342899
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