To visit the manila Zoo, 11 adults and 5 Children have to pay 270 whereas 14 adults and 9 children have to pay 370? Find the total amount a family of 2 adults and 3 children has to pay to visit the zoo.

Step-by-step explanation:

let adults be x and childrens be y

a/q

11x + 5y = 270

14x + 9y = 370

→ x = -5/11y + 270/11 ; 14x + 9y = 370

→ 14(-5/11y + 270/11) + 9y = 370

→ y = 10

→ x = -5/11 × 10 + 270/11

→ x = -50/11 + 270/11

→ x = 20

therefore, we got

x = 20, y = 10

each adult have to pay 20 and each children have to pay 10

so,

2 × 20 = 40

3 × 10 = 30

40 + 30 = 70

for a family of 2 adults and 3 children they have to pay 70.

hope this helps you dear.