You start with: (assuming x equals the cost to enter and y the cost of going on the rollercoasters.) x+5y=35 x+11y=59. Multiply the top equation by -1, and subtract the equations, giving you -6y=-24, divide by -6 into both sides of the equation, to get y=4. Now replace y in one of the original equations (I recommend x+5y=35) and solve for x, giving you x=15
The cost for entering is 15 dollars, while each coaster is 4 dollars more. You could simplify this by changing y into x and making it slope-intercept form, to track your cost. y=4x+15, so it has a slope of 4, and a y-intercept of 15. This answer should give you a good grade on a test.
Area of a triangle: A (triangle )= 4 · 6 / 2 = 12 ft² 150 - 12 = 138 ft² ( the maximum area of the rectangle ) L = ? W = 6 ft A ( rectangle ) = L · W L · 6 = 138 L = 138 : 6 = 23 ft. Answer: the maximum length of the base of the rectangle he can build is 23 ft.
