Question

A scuba diving resort hotel offers divers two plans. Plan A gives 3 nights’ lodging and 4 dives. Plan B gives 5 nights’ lodging and 8 dives. How much does it cost for each night and each dive?

Answer 1

Answer:

x = 35 and y = 100

Step-by-step explanation:

Let x = dollar cost per dive  and y = dollar cost per night.

ATQ,

4x+3y = 440 .....(1)

and

8x + 5y = 780 .....(2)

Multiply equation (1) by 2.

8x+6y = 880......(3)

Subtract equation (3) from (2).

8x + 5y -(8x+6y)= 780-880

-y = -100

y = 100

Put the value of y in equation (1).

4x+3(100) = 440

4x = 440-300

4x = 140

x = 35

Hence, the value of x is 35 and that of y is 100.