At the movie theatre, child admission is $6.30 and adult admission is $9.90 . On Monday, 159 tickets were sold for a total sales
1 answer:
C = child tickets
a = adult tickets
Solve this with the substitution method.
Make two equations:
6.30c + 9.90a = 1,246.50
c + a = 159
Solve for c.
Subtract 9.90a from both sides.
6.30c = 1,246.50 - 9.90a
Divide both sides by 6.30.
c = 197.86 - <span>1.57a (rounded to hundredths)
Plug c into second equation.
</span>197.86 - 1.57a + a = 159
Combine like terms.
197.86 - 0.57a = 159
Subtract 197.86 from both sides.
-0.57a = -38.86
Divide both sides by -0.57.
a = <span>68.18
round up to ones: 68
</span>
were sold.<span>
</span>
a = adult tickets
Solve this with the substitution method.
Make two equations:
6.30c + 9.90a = 1,246.50
c + a = 159
Solve for c.
Subtract 9.90a from both sides.
6.30c = 1,246.50 - 9.90a
Divide both sides by 6.30.
c = 197.86 - <span>1.57a (rounded to hundredths)
Plug c into second equation.
</span>197.86 - 1.57a + a = 159
Combine like terms.
197.86 - 0.57a = 159
Subtract 197.86 from both sides.
-0.57a = -38.86
Divide both sides by -0.57.
a = <span>68.18
round up to ones: 68
</span>
</span>
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After 14 weeks, both Megan and Conner will have saved the same amount.
Step-by-step explanation:
Amount Megan have = $50
Amount saved each week = $5.50
Amount Conner have = $18.50
Amount saved each week = $7.75
Let,
x be the number of weeks.
According to given statement;
M(x) = 50+5.50x Eqn 1
C(x) = 18.50+7.75x Eqn 2
For amount to be same;
Eqn 1 = Eqn 2
Dividing both sides by 2.25
After 14 weeks, both Megan and Conner will have saved the same amount.
Keywords: functions, division
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