paper clips are sold in small boxes and in large boxes. There is total of 1115 paper clips in 4 small boxes and 5 large boxes. There is total of 530 paper clips in 3 small boxes and 2 large boxes. Work out the number of paper clips in each small box and in each large box .
Answers
Answer:
Number of paper clips in each small box is 60
And Number of paper clips in each large box is 175.
Step-by-step explanation:
Let's assume that, each of the small boxes can hold x number of paper clips, and each of the large boxes can hold y number of paper clips.
According to the problem:
4x + 5y = 1115
=> 8x + 10y = 2230 . . . . . . . . . . . . . . (i) [multiplying both sides by 2]
and, 3x + 2y = 530
=> 15x + 10y = 2650 . . . . . . . . . . . . . (ii) [multiplying both sides by 5]
Subtracting (i) from (ii):
15x - 8x = 2650 - 2230
=>7x = 420
∴ x = 60
Since, 3x + 2y = 530
=> 2y = 530 - 3x = 530 - 3 . (60) = 530 - 180 = 350
∴ y = 175
Number of paper clips in each small box is 60
And Number of paper clips in each large box is 175.
Play a Game
Draw a number box like this on a sheet of paper. Drop 2 paper clips on the box. Let us say the paper clips fall on numbers 4 and 9. Take away the smaller number from the bigger, that is, 9-4 = 5. Do this ten times. Write down your answers.