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A chef got 9 bags of onions. The red onions came in bags of 6 and the yellow onions came in bags of 7. If the chef got a total of 59 onions, how many bags of each type of onion did he get?

Respuesta :

Answer:

yellow = 5 bags

red = 4 bags

Step-by-step explanation:

two equations can be derived from the question

x + y = 9 equation 1

6x + 7y = 59 equation 2

where x = number of red onion bags

y =  number of yellow onion bags

Multiply equation 1 by 6

6x + 6y = 54 equation 3

subtract equation 3 from 2

y = 5

substitute for y in equation 1

x + 5 = 9

x = 9 - 5

x = 4

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