Question

The scouts packed 9 boxes of different kinds of chips for their trip. Each box had 10 bags of chips. These clues show what they had left at the end of the trip. They ate all the rest.

Clues:

2 full boxes of potato chips and 3 bags left over
1 fewer box of nacho chips than potato chips, with no bags left over
twice as many loose bags of barbecue chips than loose bags of potato chips, with no full boxes left over
How many bags of chips did the scouts eat on their trip?

Answer 1

The scouts eat 51 bags of chips on their trip

How to determine the number of bags of chips?

The given parameters are:

Boxes = 9

Bag = 10 chips

2 full boxes of potato chips and 3 bags left over.

This represents:

Potato chips = 2 * 10 + 3

Potato chips = 23 i.e. 23 bags potato chips are left over

1 fewer box of nacho chips than potato chips, with no bags left over

This represents

Nacho chips = (2 - 1) * 10

Nacho chips = 10 i.e. 10 bags of nacho chips are left over

The loose bags of potato chips is 3.

So, we have:

Barbecue chips = 2 * 3 bags

Barbecue chips = 6 bags

At this point, we have:

• Potato chips = 23 bags
• Nacho chips = 10 bags
• Barbecue chips = 6 bags

The total number of bags left over is

Total = 23 + 10 + 6

Total = 39

The number of bags eaten is:

Eaten = 9 * 10 - 39

Evaluate

Eaten = 51

Hence, the scouts eat 51 bags of chips on their trip

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