Question

A new European-made air compressor costs €300.
A used furnace costs less than a used air compressor.
Nicole paid €230 for a piece of equipment.
Used equipment costs €100 less than new equipment.
A new hydraulic pump costs more than a used air compressor.
Which statement cannot be true?
a
Nicole bought a new furnace.
b
A new furnace costs more than a used air compressor.
A new hydraulic pump costs more than a new furnace.
d
o
A new hydraulic pump costs less than a used furnace.
e
Nicole bought a used hydraulic pump.​

Answer 1

Answer:

sorry I didn't respond.... sorry sorry

Answer 2

The statement that cannot be true is a new hydraulic pump costs less than a used furnace.

Given:

Cost of the air compressor = €300.

Amount paid by Nicole = €230

Equipment costs = €100

To Find:

Out of the given statements, which statement is not true

Solution:

Calculating the cost of a used furnace -

= Cost of the air compressor - Equipment Cost

= 300 - 100

= 200

Therefore,

The cost of a new furnace = < (€200 + £100).

The cost of a new hydraulic pump is> €200.

Understanding the statements -

1. Nicole bought a new furnace - Possible
2. A new furnace costs more than a used air compressor - Possible.
3. A new hydraulic pump costs more than a new furnace Possible.
4. Nicole bought a used hydraulic pump - Possible.
5. A new hydraulic pump costs less than a used furnace - This is not possible.

This is because the cost of a used furnace is < €200, whereas, the cost of a new hydraulic pump is> €200.

Answer: The statement that cannot be true is a new hydraulic pump costs less than a used furnace.

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