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Frank had $\$65$ .He spent $\$2$ per day for $7$ days.Then he was given $\$9$ to divide equally between himself and his $2$ brothers.What expression can be used to find the amount of money frank had remaining?

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Write linear functions: word problems

Full solution

Q. Frank had

\$65

.He spent

\$2

per day for

7

days.Then he was given

\$9

to divide equally between himself and his

2

brothers.What expression can be used to find the amount of money frank had remaining?

Calculate Total Spent: Calculate the total amount spent by Frank over $7$ days. $\newline$ Calculation: $\$2$ per day $\times 7$ days = $\$14$ spent.
Subtract from Initial Amount: Subtract the amount spent from the initial amount to find the remaining balance before sharing. $\newline$ Calculation: $\$65 - \$14 = \$51$ remaining.
Calculate Amount to Share: Calculate the amount given to Frank to share with his brothers and determine Frank's share. $\newline$ Calculation: $\$9$ total given, divided by $3$ people (Frank and his $2$ brothers) = $\$3$ each.
Add Frank's Share: Add Frank's share to his remaining balance to find the total amount of money he had left. $\newline$ Calculation: $\$51 + \$3 = \$54$ remaining.

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