# Admission to a show is 30 pesos for each child and 70 pesos for each adult. a group of 12 people pays 640. how many children are in this group

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by mariepearl18

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by mariepearl18

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Total adult and children = 12 people

x + y = 12

y = 12 - x

Number of children ⇒**x**

Number of adults ⇒**12 - x**

Admission Fee paid by each group:

Children: 30 (x) ⇒**30x**

Adults: 70 (12-x) ⇒**840 - 70x**

Total Admission fee paid = 640

Equation: Solve x (number of children)

30x + 840 - 70x = 640

-70x + 30x = 640 - 840

-40x = -200

-40x/-40 = -200/-40

**x = 5**

**ANSWER: The number of children is 5.**

Substitute 5 for for number of adults:

Adults: 12 - x = 12 - 5 ⇒**7 adults**

Check:

5 + 7 = 12

12 = 12 (True)

Total admission fee:

30 (5) + 70 (7) = 640

150 + 490 = 640

640 = 640 (True)

x + y = 12

y = 12 - x

Number of children ⇒

Number of adults ⇒

Admission Fee paid by each group:

Children: 30 (x) ⇒

Adults: 70 (12-x) ⇒

Total Admission fee paid = 640

Equation: Solve x (number of children)

30x + 840 - 70x = 640

-70x + 30x = 640 - 840

-40x = -200

-40x/-40 = -200/-40

Substitute 5 for for number of adults:

Adults: 12 - x = 12 - 5 ⇒

Check:

5 + 7 = 12

12 = 12 (True)

Total admission fee:

30 (5) + 70 (7) = 640

150 + 490 = 640

640 = 640 (True)