Mia worked 2 part time jobs for a total of 25 hours per week. she wrote and solved the following equation to determine how many hours she worked at each job during a week and which she earned $301. the equation 10x + 13y = 301 the choices a $104, $197 b. $80, $221 c. $91, $110 d. $141, $160

$80, $221 (Option B)

WORKINGS

Mia worked 2 part time jobs for a total of 25 hours per week.

Assume,

She works on the first Job for x hours

She works on the second job for y hours

Then x + y = 25            (Equation I)

We are told that in a week, she earned $301

This pay is represented by the equation 10x + 13y = 301            (Equation II)

Now, we have:

x + y = 25            (Equation I)

10x + 13y = 301            (Equation II)

Solving for x and y;

Divide equation 2 by 10

10x + 13y = 301            (Equation II)

10x/10 + 13y/10 = 301/10

x + 1.3y = 30.1             (Equation III)

Subtract Equation I from Equation III

x + 1.3y – (x + y) = 30.1 – 25

x + 1.3y – x – y = 5.1

Collect like terms’

x – x + 1.3y – y = 5.1

0.3y = 5.1

Divide through by 0.3

0.3y/0.3 = 5.1/0.3

y = 17

Substitute 17 for y in equation I

x + y = 25            (Equation I)

y = 17

x + 17 = 25

Subtract 17 from both sides of the equation

x + 17 – 17 = 25 – 17

x = 8

Therefore,

x = 8, y = 17

This means that,

She works on the first Job for 8 hours

She works on the second job for 17 hours

Now, her pay is represented by the equation 10x + 13y = 301

This means,

She is paid $10 per hour on the first job

She is paid $13 per hour on the second job

If she is paid $10 per hour on the first job

She works on the first Job for 8 hours

This means, she earned $10 x 8 on the first Job

= $80

If she is paid $13 per hour on the second job

She works on the second job for 17 hours

This means, she earned $13 x 17 on the second Job

= $221

The answer is $80, $221 (Option B)

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.