Solve the problem.
-An omelette costs $1.25 more than Mario's order of pancakes. After treating his family to breakfast, Mario is sure that 4 omelettes and 3 orders of pancakes cost more than $25 but not more than $40, including tax of 7%
And a tip of $3.50. In what price range is an order of pancakes?
A) ($2.16, $4.16]
B) ($2.12, $4.13]
C) ($2.16, $4.16)
D) [$2.12, $4.13]

Question

Quizplus · Accepted Answer

An omelette costs $1.25 more than Mario's order of pancakes. So, if an order of pancakes costs x, then an omelette costs x + 1.25.4 omelettes and 3 orders of pancakes cost more than $25 but not more than $40, including tax of 7% and a tip of $3.50. So,4(x + 1.25) + 3x + 0.07(4(x + 1.25) + 3x) + 3.50 > 25 and 4(x + 1.25) + 3x + 0.07(4(x + 1.25) + 3x) + 3.50 < 40Simplifying,7x + 5 + 0.07(7x + 5) + 3.50 > 25 and 7x + 5 + 0.07(7x + 5) + 3.50 < 407x + 5 + 0.49x + 0.35 + 3.50 > 25 and 7x + 5 + 0.49x + 0.35 + 3.50 < 407.49x + 8.85 > 25 and 7.49x + 8.85 < 407.49x > 16.15 and 7.49x < 31.15x > 2.16 and x < 4.16So, an order of pancakes costs between $2.16 and $4.16.

Solve the Problem. -An Omelette Costs $1.25 More Than Mario's Order of Pancakes