A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 420,000 gallons. Tank cars with three different carrying capacities are available: 6,000 gallons, 12,000 gallons, and 24,000 gallons. How many of each type of tank car should be leased?
A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 420,000 gallons. Tank cars with three different carrying capacities are available: 6,000 gallons, 12,000 gallons, and 24,000 gallons. How many of each type of tank car should be leased?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.1: Ratios And Rates
Problem 40E
Related questions
Question
A chemical manufacturer wants to lease a fleet of
28
railroad tank cars with a combined carrying capacity of
420,000
gallons. Tank cars with three different carrying capacities are available:
6,000
gallons,
12,000
gallons, and
24,000
gallons. How many of each type of tank car should be leased?Let
x1
be the number of cars with a
6,000
gallon capacity,
x2
be the number of cars with a
12,000
gallon capacity, and
x3
be the number of cars with a
24,000
gallon capacity. Select the correct choice below and fill in the answer boxes within your choice.The unique solution is
x1=nothing,
x2=nothing,
and
x3=nothing.
(Simplify your answers.)There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations
x1=nothingt+(nothing),
x2=nothingt+(nothing),
and
x3=t
for
nothing≤t≤nothing.
(Simplify your answers. Type integers or simplified fractions.)
There is no solution.
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