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Meena and her children went into a grocery store where they sell bananas for 
$0.70 each and mangos for 
$1.50 each. Meena has 
$15 to spend and must buy no less than 10 bananas and mangos altogether. If Meena decided to buy 6 mangos, determine the maximum number of bananas that she could buy.
Answer:

Meena and her children went into a grocery store where they sell bananas for $0.70 \$ 0.70 each and mangos for $1.50 \$ 1.50 each. Meena has $15 \$ 15 to spend and must buy no less than 1010 bananas and mangos altogether. If Meena decided to buy 66 mangos, determine the maximum number of bananas that she could buy.\newlineAnswer:

Full solution

Q. Meena and her children went into a grocery store where they sell bananas for $0.70 \$ 0.70 each and mangos for $1.50 \$ 1.50 each. Meena has $15 \$ 15 to spend and must buy no less than 1010 bananas and mangos altogether. If Meena decided to buy 66 mangos, determine the maximum number of bananas that she could buy.\newlineAnswer:
  1. Calculate total cost of mangos: Calculate the total cost of 66 mangos.\newlineMangos cost $1.50\$1.50 each.\newlineTotal cost for 66 mangos = 6×$1.506 \times \$1.50.\newlineTotal cost for 66 mangos = $9.00\$9.00.
  2. Subtract cost from total amount: Subtract the cost of 66 mangos from the total amount Meena has.\newlineMeena has $15\$15 to spend.\newlineAmount remaining after buying 66 mangos = $15$9.00\$15 - \$9.00.\newlineAmount remaining = $6.00\$6.00.
  3. Calculate maximum number of bananas: Calculate the maximum number of bananas Meena can buy with the remaining amount.\newlineBananas cost $0.70\$0.70 each.\newlineMaximum number of bananas = Amount remaining / Cost per banana.\newlineMaximum number of bananas = $6.00/$0.70\$6.00 / \$0.70.\newlineMaximum number of bananas = 8.578.57, but Meena can only buy whole bananas.\newlineMaximum number of bananas = 88.
  4. Check total number of fruits: Check if the total number of fruits Meena buys is at least 1010. \newlineTotal fruits == Number of mangos ++ Number of bananas.\newlineTotal fruits =6+8= 6 + 8.\newlineTotal fruits =14= 14.
  5. Confirm Meena's fruit purchase: Confirm that Meena can buy 88 bananas along with 66 mangos and still meet the requirement of buying at least 1010 fruits in total.\newlineSince 1414 is greater than 1010, the requirement is met.

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