f) Dailin is mowing lawns at $40 per hour to save for a new bike which is $670. He can save 65% of his lawn mowing money and his dad will give him $3 for every $2 he can save. How many hours will he need to mow lawns to save enough money for his bilke?

Question

f) Dailin is mowing lawns at  $40 per hour to save for a new bike which is  $670. He can save  65% of his lawn mowing money and his dad will give him  $3 for every  $2 he can save. How many hours will he need to mow lawns to save enough money for his bilke?

Bytelearn · Accepted Answer

Define Variables: Let's define the variables: - Let x be the number of hours Dailin needs to mow lawns. - Dailin earns $40 per hour, so his total earnings will be $40x. - He can save 65% of his earnings, so his savings from mowing will be $40x * 0.65. - His dad will give him $3 for every $2 he saves. This means for every $2 Dailin saves, he gets an additional $3 from his dad, making it a total of $5 for every $2 saved. - The cost of the new bike is $670.  We need to find the value of x that will allow Dailin to save enough money to buy the bike.Calculate Savings from Earnings: Calculate the amount Dailin saves from his earnings: Savings from earnings = 65% of total earnings Savings from earnings = 0.65 * $40x Savings from earnings = $26xCalculate Additional Amount from Dad: Calculate the additional amount Dailin's dad will give him based on his savings: For every $2 saved, Dailin gets $3 from his dad. So, for $26 saved (which is 13 times $2), Dailin will get 13 times $3 from his dad. Additional amount from dad = 13 * $3 Additional amount from dad = $39xCalculate Total Amount: Calculate the total amount Dailin will have after saving and receiving money from his dad: Total amount = Savings from earnings + Additional amount from dad Total amount = $26x + $39x Total amount = $65xSet Up Equation: Set up the equation to find out how many hours Dailin needs to work to afford the bike: Total amount needed for the bike = $670 $65x = $670Solve for x: Solve for x to find out how many hours Dailin needs to mow lawns: $65x = $670 x = $670 / $65 x = 10.3076923077 Since Dailin cannot work a fraction of an hour, we'll round up to the nearest whole hour. x = 11 hours

f) Dailin is mowing lawns at $\$ 40$ per hour to save for a new bike which is $\$ 670$ . He can save $65 \%$ of his lawn mowing money and his dad will give him $\$ 3$ for every $\$ 2$ he can save. $\newline$ How many hours will he need to mow lawns to save enough money for his bilke?

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