GMAT Quadratic Equations practice questions

A restaurant manager is adjusting the recipe for a signature sauce. The original recipe calls for a ratio of vinegar to oil of 3:5. To make the sauce less acidic, the manager wants the new ratio to have 40% less vinegar relative to oil while keeping the oil quantity unchanged. What should be the new ratio of vinegar to oil, expressed in simplest form? (Note: The reduction applies to the vinegar quantity, not the ratio itself.)

A city's parks department budgets funds for planting trees in two phases. In the first phase, they plant trees at a constant rate of $x$ trees per week for 5 weeks. In the second phase, they plant trees at a new constant rate that is 25% higher than the initial rate for the next 4 weeks. If the total number of trees planted over all 9 weeks is 900, what was the initial weekly planting rate?

A construction company is building a rectangular warehouse with a fixed perimeter of 120 meters. The company wants to maximize the area of the warehouse. If the length of the warehouse is given by the equation $L = 30 - W$, where $W$ is the width in meters, what is the maximum possible area of the warehouse, in square meters?

A construction project requires installing rectangular panels of dimensions 1.50 meters by 2.25 meters on a wall with dimensions 9 meters by 4 meters. The panels must be installed in a grid pattern without overlapping or rotating. What is the maximum number of panels that can be installed on the wall?

A construction company is designing rectangular storage units with an area of 120 square meters. To minimize material costs, they need to determine the dimensions that yield the smallest possible perimeter while satisfying two constraints: (1) the length must be at least 1.5 times the width, and (2) both dimensions must be integers. What is the minimum possible perimeter under these conditions?