Question

A chef got 30 bags of onions. The red onions came in bags of 4 and the yellow onions came in bags of 6. If the chef got a total of 156 onions, how many bags of each type of onion did he get?

Please help please please Please
This question is killing me

Answer 1

Answer:

• 12 bags of red onions
• 18 bags of yellow onions

Step-by-step explanation:

Let the number of bags with red onions be x and same of yellow be y.

Each bag has 4x or 6y onions.

According to question we set the following equations.

Total number of bags is 30:

• x + y = 30

Total number of onions is 156:

• 4x + 6y = 156

We have a system, lets solve it by elimination.

Multiply the first equation by 6 and subtract the second equation:

• 6(x + y) - (4x + 6y) = 30*6 - 156
• 6x - 4x + 6y - 6y = 180 - 156
• 2x = 24
• x = 12

Find the value of y:

• y + 12 = 30
• y = 30 - 12
• y = 18