Multi-digit decimal operations Transitional Reasoning Practice

Questions

1. 1.

   A municipal recreation department plans to install a non-slip stone walkway of uniform width 1.25 meters around all four sides of an existing rectangular pool that measures 12.8 meters long and 6.4 meters wide. The contractor charges $64.80 per square meter for the supply and installation of the paving stones. What is the total cost to pave the entire walkway?

   • A) $1,656.45
   • B) $3,110.40
   • C) $3,515.40
   • D) $5,308.42
2. 2.

   A research laboratory procures a specialized solvent from two certified industrial suppliers. Supplier A offers a 12.5-liter drum for $347.50, whereas Supplier B offers a 16.8-liter drum of the identical solvent for$441.00. By choosing Supplier B instead of Supplier A, how much money does the laboratory save per liter of solvent?

   • A) $1.65
   • B) $2.35
   • C) $1.45
   • D) $1.55
3. 3.

   A community bakery purchases 38.5 kilograms of artisan flour at $2.40 per kilogram and 16.5 kilograms of raw cane sugar at$3.80 per kilogram. A delivery surcharge of $14.75 is applied to the shipment, and the bakery applies a promotional credit of$8.65 to the invoice. The head baker divides this final net cost equally among 4 custom pastry orders. How much net ingredient cost is assigned to each pastry order?

   • A) $36.61
   • B) $38.78
   • C) $42.46
   • D) $40.30
4. 4.

   A solar energy research station uses two distinct arrays of solar panels to power an automated irrigation system. Array A consists of 14 panels that produce an average of 3.45 kilowatt-hours of electricity each day, while Array B consists of 18 panels that produce an average of 2.85 kilowatt-hours each day. Over an active 5-day monitoring period, the irrigation system consumed a total of 398.75 kilowatt-hours of electricity. On average, how many kilowatt-hours of surplus electrical energy did the combined solar arrays generate per day beyond the consumption of the irrigation system?

   • A) 19.85
   • B) 20.15
   • C) 20.85
   • D) 16.85
5. 5.

   A greenhouse manager prepares a nutrient solution by adding 3 bottles of liquid fertilizer, each holding 1.85 liters, to a tank that initially contains 14.75 liters of purified water. After mixing thoroughly, the manager drains 8.6 liters of the combined solution to water the seedlings and divides the remaining liquid equally among 4 storage jugs. How many liters of nutrient solution does each storage jug receive?

   • A) 5.075 liters
   • B) 3.175 liters
   • C) 2.925 liters
   • D) 2.425 liters

Answers and step-by-step solutions appear after you finish the test.