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:
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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