Question

Fred earns $ 45 mowing the lawn. He spends $ 5 on music, and puts half of what's left in a savings account. He then gets another $ 10 for washing his neighbor's car. First, write the expression that represents the number of dollars Fred keeps (and does not put in his savings account), and then simplify.

Answer 1

To determine the amount that Fred keeps, first subtract the $5 he spends on music from his initial $45 earnings, then save half of the remainder, and finally, add the $10 he earns from washing the car. Simplifying the expression (45 - 5) / 2 + 10, we find that Fred keeps $30.

Step-by-step explanation:

The student's question involves calculating the number of dollars Fred keeps after various transactions. Fred starts with $45 from mowing the lawn. He spends $5 on music, which leaves him with $40. Next, he saves half of this amount, which means he saves $20 and is left with another $20. Finally, Fred earns an additional $10 from washing his neighbor's car. To find out the total amount he keeps, we add the $20 that was not put into savings to the $10 earned from washing the car, resulting in a total of $30 that Fred keeps.

The expression representing the number of dollars Fred keeps is: (45 - 5) / 2 + 10

We simplify the expression by first subtracting the amount spent on music from the initial earnings:

45 - 5 = 40

Then, divide this amount by 2 to find out how much is saved:

40 / 2 = 20

Finally, we add the amount earned from washing the car:

20 + 10 = 30

Therefore, Fred keeps $30 after all transactions.

Answer 2

$30

Step-by-step explanation:

Given that :

Amount earned for mowing = $45

Amount spent on music = $5

Amount earned for washing neighbor's car = $10

Amount saved = half or remaining amount

Amount of dollars Fred keeps =

Amount Fred keeps:

[(Amount earned - amount spent) / 2] + $10

[($45 - $5) / 2] +

($40 / 2) + $10

= $20 + $10

= $30