Answer :
Answer:
Each will have passed 17 tests and it will take 3 weeks.
Explanation:
Let x be the number of weeks.
The number of tests Travis passes to begin with is 11.
We then add 2 tests per week, or 2x to that, giving us:
11+2x.
The number of tests Jenifer has passed to begin with is 2.
We then add 5 tests per week, or 5x to that, giving us:
2+5x.
Setting these equal, we have:
11+2x=2+5x.
Subtract 2x from each side:
11+2x-2x=2+5x-2x;
11=2+3x.
Subtract 2 from each side:
11-2=2+3x-2;
9=3x.
Divide both sides by 3:
[tex] \frac{9}{3} = \frac{3x}{3} [/tex];
3=x.
It will take 3 weeks.
In 3 weeks,
Travis will have passed:
11+2*3 = 11+6 = 17 tests.
Jenifer will have passed the same number, since she catches up with him at this point.
Each will have passed 17 tests and it will take 3 weeks.
Explanation:
Let x be the number of weeks.
The number of tests Travis passes to begin with is 11.
We then add 2 tests per week, or 2x to that, giving us:
11+2x.
The number of tests Jenifer has passed to begin with is 2.
We then add 5 tests per week, or 5x to that, giving us:
2+5x.
Setting these equal, we have:
11+2x=2+5x.
Subtract 2x from each side:
11+2x-2x=2+5x-2x;
11=2+3x.
Subtract 2 from each side:
11-2=2+3x-2;
9=3x.
Divide both sides by 3:
[tex] \frac{9}{3} = \frac{3x}{3} [/tex];
3=x.
It will take 3 weeks.
In 3 weeks,
Travis will have passed:
11+2*3 = 11+6 = 17 tests.
Jenifer will have passed the same number, since she catches up with him at this point.
Answer:
Each will pass 17 test after 3 weeks.
Step-by-step explanation:
Consider the provided information,
Let x is the number of weeks.
Travis has passed 11 tests and plans to pass 2 tests per week.
[tex]11+2x[/tex]
Jenifer, has passed 2 tests and plans to pass 5 tests per week.
[tex]2+5x[/tex]
Now equate them as shown.
[tex]11+2x=2+5x[/tex]
[tex]11-2=5x-2x[/tex]
[tex]9=3x[/tex]
[tex]x=3[/tex]
Hence, after 3 weeks both have passed the same number of test.
Substitute x=3 in [tex]11+2x[/tex]
[tex]11+2(3)=17[/tex]
Hence, each will pass 17 test after 3 weeks.
