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16 Sep 2014, 00:45
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Due to weight constraints, a lorry can transport a maximum of 20 crates of apples. The weight of a crate of oranges is \(\frac{3}{4}\) that of a crate of apples. If the lorry already has 10 crates of apples loaded, what is the maximum number of crates of oranges it can still accommodate?
A. 8
B. 9
C. 12
D. 13
E. 14
A. 8
B. 9
C. 12
D. 13
E. 14
16 Sep 2014, 00:45
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Official Solution:
Due to weight constraints, a lorry can transport a maximum of 20 crates of apples. The weight of a crate of oranges is \(\frac{3}{4}\) that of a crate of apples. If the lorry already has 10 crates of apples loaded, what is the maximum number of crates of oranges it can still accommodate?
A. 8
B. 9
C. 12
D. 13
E. 14
There's still space for 10 crates of apples on the lorry. Since one crate of oranges weighs \(\frac{3}{4}\) the weight of a crate of apples, this means one crate of apples weighs \(\frac{4}{3}\) of a crate of oranges. Therefore, the weight of 10 crates of apples is equivalent to the weight of \(10*(\frac{4}{3}) = 13\frac{1}{3}\) crates of oranges. As the number of crates must be a whole number, the lorry can additionally accommodate a maximum of 13 crates of oranges.
Answer: D
Due to weight constraints, a lorry can transport a maximum of 20 crates of apples. The weight of a crate of oranges is \(\frac{3}{4}\) that of a crate of apples. If the lorry already has 10 crates of apples loaded, what is the maximum number of crates of oranges it can still accommodate?
A. 8
B. 9
C. 12
D. 13
E. 14
There's still space for 10 crates of apples on the lorry. Since one crate of oranges weighs \(\frac{3}{4}\) the weight of a crate of apples, this means one crate of apples weighs \(\frac{4}{3}\) of a crate of oranges. Therefore, the weight of 10 crates of apples is equivalent to the weight of \(10*(\frac{4}{3}) = 13\frac{1}{3}\) crates of oranges. As the number of crates must be a whole number, the lorry can additionally accommodate a maximum of 13 crates of oranges.
Answer: D
28 Jul 2017, 22:30
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Let's say, the weight of one crate of apples is 4 kg
So, the wt of one crate of oranges becomes 3/4(4) = 3 kg
Capacity of truck is 4kg * 20 crates =80 kg
10 crates of apples is already loaded i.e 40 kg and the balance capacity is 80-40=40 kg
No of crates of orages, the truck can accomodate is 40/3 = 13.33 = 13 crates
So, the wt of one crate of oranges becomes 3/4(4) = 3 kg
Capacity of truck is 4kg * 20 crates =80 kg
10 crates of apples is already loaded i.e 40 kg and the balance capacity is 80-40=40 kg
No of crates of orages, the truck can accomodate is 40/3 = 13.33 = 13 crates
