Brian O'Reilly earns twice as much each week as a tutor than he does pumping gas. His total weekly wages are $150 more than that of his younger sister. She earns one quarter as much as Brian does as a tutor. How much does Brian earn as a tutor? Use a Chart.
let Brian's wage pumping gas be $x
then his wage tutoring is $2x
his sister's wage is 2x/4 = x/2
"His total weekly wages are $150 more than that of his younger sister"
If found that a lot of students have difficulty with that kind of a statement.
They don't know whether to add/subtact the $150.
I used to have my students translate the above into something like...
His wages are greater than the sister's wages by 150
---> x + 2x > x/2 by 150
so to make that statement into an equation we would add the 150 to the smaller side or ...
x+2x = x/2 + 150
3x = x/2+150
6x = x+300
5x = 300
x = 60
so Brian earns 2x as a tutor or $120
check:
Brian pumping gas : 60
Brian tutoring : 120
total of his wages = 180
sister : half of his tutoring or 30
does Brian make 150 more than the sister ? YES!
thank you so much
Mona Yahuso earns threee times as much as an actuary as she does as a writer. Her total income is $40,000 more then that of their brother. He earns half as much as Mona dose as an actuary. What is Mona's salary as a actuary?
To solve this problem using a chart, we can create a table to organize the given information and solve for Brian's earnings as a tutor. Let's begin:
Let's use the variable x for Brian's earnings as a tutor.
Brian's earnings pumping gas: x/2
Brian's earnings as a tutor: x
Brian's total weekly wages: (x/2) + x = 1.5x
Now, let's move on to his younger sister's earnings.
Sister's earnings: 1/4 of Brian's tutor earnings = (1/4) * x = x/4
According to the information given, Brian's total weekly wages are $150 more than his sister's earnings. Therefore:
Sister's earnings + $150 = Brian's total weekly wages
x/4 + $150 = 1.5x
To solve this equation, we first need to simplify it:
Multiply every term by 4 to eliminate the fraction:
x + 4($150) = 6x
x + $600 = 6x
Now, subtract x from both sides of the equation:
$600 = 5x
Finally, divide both sides by 5 to solve for x:
$600 / 5 = x
$120 = x
Hence, Brian earns $120 as a tutor.