Sam buys two coffee and a tea. The total cost is Rs. 320 .Jane buys tea and coffee from the same shop . He buys three coffee and two teas . The total cost is Rs. 520. Using both Sam and Jane’s totals can you find the cost of a tea and a coffee ?(Solve by cross – multiplication method )
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ANSWER:
The cost of coffee is 120 and the cost of tea is 80
Step-by-step explanation:
Let A be coffee and B be tea.
Sam:
2A+B=320 _(1)
Jane:
3A+2B=520_(2)
(Solving by cross – multiplication method)
(1)×2 _ 4A+2B=640
(2) _ 3A+2B=520
__________
A =120
Substitute A=120 in (1)
2(120)+B=520
B=320 - 240
B=80
A=120, B=80
Therefore the cost of coffee is 120 and tea is 80
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