Grace and her children went into a grocery store and where they sell bananas for $0.50 each and mangos for $0.75 each. Grace has $7.25 to spend and must buy a minimum of 13 bananas and mangos altogether. If Grace decided to buy 8 mangos, determine all possible values for the number of bananas that she could buy. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Question

Melissa Kline

Mathematics

23 February, 02:28

Grace and her children went into a grocery store and where they sell bananas for $0.50 each and mangos for $0.75 each. Grace has $7.25 to spend and must buy a minimum of 13 bananas and mangos altogether. If Grace decided to buy 8 mangos, determine all possible values for the number of bananas that she could buy. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

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Answers (1)

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Kyla Chapman · Answer 1

Grace could buy 1 or 2 bananas and not more than that and hence she cannot make the total count of fruits tleast 13.

Step-by-step explanation:

Cost of 1 banana = $0.5

Cost of 1 mango = $0.75

Total money Grace has = $7.25

Grace has decided to buy 8 mangoes costing = 8 / times 0.75

= $6

Grace has to buy a minimum of 13 mangoes and bananas altogether.

After Grace buy 8 mangoes, money remaining with her = 7.25 - 6

= $1.25

With the remaining money she has to buy bananas which cost her $0.5 each.

With $1.25 she can buy a maximum of 2 bananas only and the total number of fruits equals 10.

Hence it is not possible to buy 13 fruits altogether.