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2 years ago

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A scenic train ride has one price for adults and one price for children. One family of two adults and two children pays 1054 Bah

t for the train ride. Another family of one adult and four children pays 1190 Baht. Find the price x for an adult and the price y for a child?

1 answer:

olga_2 [115]2 years ago

3 0

Answer:

x = price for adult = 306 Baht

y = price for children = 221 Baht

Step-by-step explanation:

Let

x = price for adult

y = price for children

2x + 2y = 1054 (1)

x + 4y = 1190 (2)

From (1)

x = 1190 - 4y

Substitute x = 1190 - 4y into (1)

2x + 2y = 1054 (1)

2(1190 - 4y) + 2y = 1054

2380 - 8y + 2y = 1054

- 8y + 2y = 1054 - 2380

- 6y = - 1326

y = -1326/-6

y = 221

Substitute y = 221 into (2)

x + 4y = 1190 (2)

x + 4(221) = 1190

x + 884 = 1190

x = 1190 - 884

= 306

x = price for adult = 306 Baht

y = price for children = 221 Baht

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