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Two friends went to buy fireworks to celebrate new years eves. One friend bought 6 rockets and 11 bombs for $36.50. The other one bought 14 rockets and 8 bombs for $41. What was the cost of one rocket? (solve with system of equations)

Sagot :

Answer:

Cost of one rocket = $1.5

Step-by-step explanation:

Given:

6 rockets and 11 bombs cost = $36.50

14 rockets and 8 bombs cost = $41

Find:

Cost of one rocket

Computation:

Cost of one rocket = x

Cost of one bomb = y

So,

6x + 11y = 36.50.....eq1

14x + 8y = 41......eq2

From eq1

y = [36.50 - 6x]/11

From eq2

14x + 8y = 41

14x + 8[36.50 - 6x]/11 = 41

x = 1.5

Cost of one rocket = $1.5

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