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Elijah and his children went into a grocery store where they sell apples for 
$1.50 each and peaches for 
$2 each. Elijah has 
$20 to spend and must buy at least 10 apples and peaches altogether. If Elijah decided to buy 6 apples, determine the maximum number of peaches that he could buy.
Answer:

Elijah and his children went into a grocery store where they sell apples for $1.50 \$ 1.50 each and peaches for $2 \$ 2 each. Elijah has $20 \$ 20 to spend and must buy at least 1010 apples and peaches altogether. If Elijah decided to buy 66 apples, determine the maximum number of peaches that he could buy.\newlineAnswer:

Full solution

Q. Elijah and his children went into a grocery store where they sell apples for $1.50 \$ 1.50 each and peaches for $2 \$ 2 each. Elijah has $20 \$ 20 to spend and must buy at least 1010 apples and peaches altogether. If Elijah decided to buy 66 apples, determine the maximum number of peaches that he could buy.\newlineAnswer:
  1. Calculate Apples Cost: Calculate the total cost of 66 apples.\newlineApples cost $1.50\$1.50 each. So, 66 apples will cost 6×$1.506 \times \$1.50.\newlineCalculation: 6×$1.50=$96 \times \$1.50 = \$9.
  2. Subtract Apple Cost: Subtract the cost of the apples from the total amount Elijah has.\newlineElijah has $20\$20 to spend. He spent $9\$9 on apples.\newlineCalculation: $20$9=$11\$20 - \$9 = \$11 remaining for peaches.
  3. Determine Peach Quantity: Determine the number of peaches Elijah can buy with the remaining money. Peaches cost $2\$2 each. With $11\$11, the number of peaches he can buy is $11/$2\$11 / \$2. Calculation: $11/$2=5.5\$11 / \$2 = 5.5. Since Elijah cannot buy half a peach, he can buy a maximum of 55 peaches.
  4. Check Minimum Requirement: Check if the total number of fruits meets the minimum requirement.\newlineElijah must buy at least 1010 apples and peaches altogether. He bought 66 apples and can buy 55 peaches.\newlineCalculation: 66 apples ++ 55 peaches == 1111 fruits.\newlineSince 1111 is greater than 1010, the requirement is met.

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