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Blake and his children went into a bakery and where they sell donuts for $1.50 each and cookies for $0.50 each. Blake has $15 to spend and must buy no less than 12 donuts and cookies altogether. If Blake decided to buy 10 cookies, determine the maximum number of donuts that he could buy. If there are no possible solutions, submit an empty answer.

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Answer: 6 donuts

Step-by-step explanation:

Given the following :

Cost of donut = $1.50

Cost of cookies = $0.50

Amount to spend = $15

Total number of donut and cookies to buy must not be less than 12

Number of cookies purchased = 10

Maximum number of donuts Blake could buy:

Amount spent on cookies = (10 × $0.50) = $5

Amount left to spend = ($15 - $5) = $10

Maximum number of donuts Blake could buy:

Amount left / cost per donut

= $10 / $1.50

= $6.66

Hence, maximum number of donut would be 6