Maximizing Patio Garden Space: Calculating Flower Bed Width with Maths Problem

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Bob has £140 to purchase paving slabs for his patio garden, with each slab costing £2.80 and measuring 70 x 70 cm. He can only buy enough slabs to create a patio area that is twice as long as it is wide, leaving part of the space for a flower bed. The patio garden is 5 meters wide, leading to the conclusion that the flower bed width is 1.5 meters. Participants in the discussion confirmed the correct answer and provided guidance on how to approach the math problem. Overall, the conversation focused on solving the mathematical equation related to the patio dimensions and flower bed width.
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Bob has £140 to spend on paving slabs for his patio garden. Paving slabs are 70 x 70 cm
square and cost £2.80 each. He finds that, using whole slabs, he is only able to buy
enough to lay an area which is twice as long as it is wide but will not cover the whole patio.
He decides to leave the remainder as a rectangular flower bed down one side.

If his patio garden is 5 m wide, how wide is the flower bed?

A 1.4 m

B 1.5 m

C 2.0 m

D 3.5 m

E 7.0 m


I am struggling with the question above - can anyone please advise me on how to tackle it? The correct answer is B.

Thanks
 
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How many slabs can he buy at most?
Suppose the width of the covered area is x tiles, can you think of an equation for x that mathematically describes the third sentence? (Or, if you want, you can let x be the width, of the tiling -- that is equivalent).

And yes, the correct answer is B.
 
Thanks a lot for the reply! I understand the problem now, your help is very much appreciated!

Thanks again!
 

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