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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 $\$ 1.50$ 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. $\newline$ Answer:

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GCF and LCM: word problems

Full solution

Q. 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.

\newline

Answer:

Calculate Apples Cost: Calculate the total cost of $6$ apples. $\newline$ Apples cost $\$1.50$ each. So, $6$ apples will cost $6 \times \$1.50$ . $\newline$ Calculation: $6 \times \$1.50 = \$9$ .
Subtract Apple Cost: Subtract the cost of the apples from the total amount Elijah has. $\newline$ Elijah has $\$20$ to spend. He spent $\$9$ on apples. $\newline$ Calculation: $\$20 - \$9 = \$11$ remaining for peaches.
Determine Peach Quantity: Determine the number of peaches Elijah can buy with the remaining money. Peaches cost $\$2$ each. With $\$11$ , the number of peaches he can buy is $\$11 / \$2$ . Calculation: $\$11 / \$2 = 5.5$ . Since Elijah cannot buy half a peach, he can buy a maximum of $5$ peaches.
Check Minimum Requirement: Check if the total number of fruits meets the minimum requirement. $\newline$ Elijah must buy at least $10$ apples and peaches altogether. He bought $6$ apples and can buy $5$ peaches. $\newline$ Calculation: $6$ apples $+$ $5$ peaches $=$ $11$ fruits. $\newline$ Since $11$ is greater than $10$ , the requirement is met.

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