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1. Coach Jensson wants to celebrate the final win of the
school's baseball season with a trip to the local fast food
place. The team buys 22 delicious tacos and 17 orders
of savory nachos for $71.05. A few of the players are still
hungry, so the coach buys 10 more tacos and 5 more
orders of nachos for $27.25. If you don't consider tax,
what is the price of a taco and the price of an
order of nachos ?
Let’s take x as the price of a taco and y as the price of a serving of nachos. 22x + 17y = 71.05. First order 10x + 5y = 27.25. Second order Multiply the first order by 5 and the second order by 11 110x + 85y = 355.25 110x + 55y = 299.75 Subtract 30y = 55.5 y = 1.85 So 10x + 5x1.85 = 27.25 10x = 27.25 - 9.25 = 18 x = 1.8
So each taco cost $1.80 and an order of nachos cost $1.85
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