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Ksenya-84 [330]
3 years ago
11

The difference between two numbers is 4. Three times the larger is 2 more than five times the smaller. Find the numbers.

Mathematics
2 answers:
Vitek1552 [10]3 years ago
8 0

Let x represent the larger number.
Let y represent the smaller number.
x-y=4 Given
3x=5y-2 Given 
Now we can just substitute; let x=4+y 
Substitute 4+y for x in the second equation:
3(4+y)=5y-2
12+3y=5y-2
-2y=-14
y=7
Substitute back (into BOTH equations to double check work).
x, the larger number, is 11 
Anon25 [30]3 years ago
7 0
Da numbers are x and y

lets say x>y
differebec between x and y is 4
x-y=4


3 times the larger is 2 more than 5 times the smaller
3 times x is 2 more than 5 times y
3x=2+5y

ok so we gots
x-y=4 and
3x=2+5y

hmm
in the first one we can solve for x and subsitute
x-y=4
add y to both sides
x=y+4
subsitute y+4 for x

3x=2+5y
3(y+4)=2+5y
distribute
3y+12=2+5y
minus 3y both sides
12=2+2y
minus 2 both sides
10=2y
divide 2 both sides
5=y

subsitute back

x=y+4
x=5+4
x=9

the numbers are 9 and 5
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Answer:

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2.$145.57

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Step-by-step explanation:

Mike has two part time jobs.

<u>Job 1: Ice-cream store</u>

Number of hours worked= 8.5 hours

Payment per hour=$10.55

<u>Job 2: Movie theater</u>

Number of hours worked=7 hours

Payment per hour=$13.85

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= 8.5×$10.55 =$89.68

⇒For job 2 will be;

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Total=$89.68+$96.95=$186.63

2.  Calculate amount taken as tax

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  Remaining amount after tax will be;

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3.

The job that Mike earns the most before taxes is  at the Movie theater.

How much more will be; Earnings at Movie theater-Earnings at the Ice-cream store

=$96.95-$89.68

=$7.27 more

4.

After paying taxes the amount remaining is $145.57

After spending $50 on entertainment,the amount left will be;

 

$145.57-$50=$95.57

so to find the percent of remaining amount of Mike's paycheck will be;

95.57/145.57 *100=65.65%

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