167k views
0 votes
Gary takes a suitcase and backpack on an airplane. The suitcase weighs 4 times as much as the backpack. The suitcase and the backpack together weigh 40 lb. HURRY!!! PLS :( Thank You, too!

User Brad Orego
by
6.5k points

1 Answer

1 vote
Let x be the weight of the backpack in pounds. Then the weight of the suitcase is 4x. The total weight of the suitcase and backpack is 40 pounds, so x + 4x = 40.
Combining like terms, we have 5x = 40.
Dividing both sides of the equation by 5, we have x = 8.
Therefore, the backpack weighs 8 pounds and the suitcase weighs 4 * 8 = 32 pounds.
User Ruhong
by
7.3k points