two friends at work at different companies, P and S. Both complanies use the number of hours that an employee's vacation hours.
The relationship between the number of hours worked and the number of vacation hours for employees at each company is shown in the table below. which statement describes the difference in each friends vacation if both work 2,080 hours.
1 answer:
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Answer:
Step-by-step explanation:
A proportion is an equation that defines that two ratios are equal. When the terms of a proportion are cross multiplied, the cross products are equal. Cross multiplication is the multiplication of the numerator of the first ratio by the denominator of the second ratio and the multiplication of the denominator of the first ratio by the numerator of the second ratio:
Therefore:
Answer:
Year 2030.
Step-by-step explanation
In 1997, Let Tim's age = <em>X</em> years
In 1997, Let Sue's age = <em>Y</em> years
After 5 years in 2002, Tim's age = (<em>X+ 5) </em>years
After 5 years in 2002, Sue's age = <em>(Y + 5)</em> years
Now, According to question,
<em>X </em>+ <em>Y</em> = 32 (sum of their ages) .......(1)
<em>Y </em>= 32 -<em> X</em>
(X + 5) = 2 (Y + 5) .......(2)
Substituting the value of <em>Y</em> in (2)
<em>X </em>+ 5 = 2 (32 - <em>X </em>+ 5)
<em>X </em>+ 5 = 2 (37 - <em>X </em>)
<em>X </em>+ 5 = 74 - 2<em>X </em>
3<em>X </em>=<em> </em>69
<em>X </em>= 69/3 = 23
Now ∵<em> Y</em> = 32 - <em>X </em>and<em> X = </em>23
∴ <em>Y</em> = 32 - 23 = 9
So, In 1997, Tim's age = 23 years and Sue's age = 9 years.
Let the year in which Sue's age will be three-fourth times of Tim's age be t.
Sue's age after<em> t </em>years = (9 +<em> t) </em>years.
Tim's age after<em> t</em> years = (23 + <em>t</em>) years
According to question,
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The Year in which Sue's age will be three-fourth times of Tim's age is:
= (1997 + 33) = 2030.