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reearamrup27
16.03.2020 •
Mathematics
A group who of 3 adults and 10 students paid $102 for a cavern tour. Another group of 3 adult and 7 students paid $84 for the tour find admission price for an adult ticket and a student.
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Ответ:
Admission price for an adult ticket and a student is $14 & $6 respectively .
Step-by-step explanation:
Here we have , A group who of 3 adults and 10 students paid $102 for a cavern tour. Another group of 3 adult and 7 students paid $84 for the tour .
Linear equation for statement A group who of 3 adults and 10 students paid $102 for a cavern tour:
⇒
, where x is price of adult ticket & y of students .
Linear equation for statement Another group of 3 adult and 7 students paid $84 for the tour :
⇒
, where x is price of adult ticket & y of students .
subtracting both linear equation we get:
⇒![(3x+10y)-(3x+7y) = 102-84](/tpl/images/0548/5979/4d961.png)
⇒![3y = 18](/tpl/images/0548/5979/ee6ab.png)
⇒![y =6](/tpl/images/0548/5979/e22cf.png)
Putting value of y in equation
:
⇒![3x + 10y = 102](/tpl/images/0548/5979/83702.png)
⇒![3x + 10(6) = 102](/tpl/images/0548/5979/eed97.png)
⇒![3x = 42](/tpl/images/0548/5979/34807.png)
⇒![x = 14](/tpl/images/0548/5979/55169.png)
∴ Admission price for an adult ticket and a student is $14 & $6 respectively .
Ответ:
11 days is correct
Step-by-step explanation: