The weight limit for luggage at the airport is 22 kilograms per person. Rico packs two suitcases and finds their weights to be 8,500 grams and 9,200 grams. How many more grams can be packed without going over the weight limit?

Eg. w is the weight addition can be packed

Total weight is less than or equal to 22 kg. The inequality system will be

8,500 gr + 9,200 gr + w ≤ 22 kg

Change the weight into gram unit

8,500 gr + 9,200 gr + w ≤ 22 * 1,000 gr

8,500 gr + 9,200 gr + w ≤ 22,000 gr

Solve the inequality system

8,500 gr + 9,200 gr + w ≤ 22,000 gr

17,700 gr + w ≤ 22,000 gr

17,700 gr - 17,700 gr + w ≤ 22,000 gr - 17,700 gr

w ≤ 4,300

Rico can pack no more than 4,300 grams

The answer is 4,300