Question #237368

fatima plans to spend at $15 and at most $20 on sketch pads and pencils. If she buys 2 sketch pads, how many pencils can she buy while staying in her price range



1
Expert's answer
2021-09-15T03:05:25-0400

Question:

Fatima plans to spend at $15 and at most $20 on sketch pads and pencils. If she buys 2 sketch pads, how many pencils can she buy while staying in her price range.




Solution:

Cost of sketch pad = $3.25

cost of pencil = $0.75


2 sketch pads cost 2×$3.252 × \$3.25 which is $6.50,

Maximum amount left = $20 - $6.50 = $13.50

Minimum amount left = $15 - $6.50 = $8.50


Maximum number of pencils that can be bought = $13.50$0.75\dfrac{\$ 13.50}{\$0.75} = 18 pencils


Minimum number of pencils that can be bought = $8.50$0.75\dfrac{\$ 8.50}{\$0.75} = 11.3 pencils


\therefore for Fatima to remain in her price range, she can buy 12 to 18 pencils.


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