Question

The principal of a high school spent 1700 for X desk each and Y chairs at $25 each if he had bought half the number of desk in twice the number of chairs he would have spent 1600 right to linear equation to represent the two conditions stated above

Answer 1

25X + 25Y = 1700

25X + 100Y = 3200

Explanation:

Given that the principal of a high school spent $1700 for X desk and Y chairs at $25 each. Then, the equation will be

25X + 25Y = 1700 ....... (1)

If he had bought half the number of desk in twice the number of chairs he would have spent 1600. That is

25(X/2) + 25(2Y) = 1600

25X/2 + 50Y = 1600

Find the LCM and cross multiply

25X + 100Y = 3200 ........(2)