Narci has 45 red buttons and 60 yellow buttons she wants to use all of the buttons and divide each color equally into boxes what is greatest number of boxes marci can use to divide the buttons

This question is based on greatest common factor.

There are 45 red buttons and 60 yellow buttons

factors of 45 = 3,5,15

factors of 60 = 2,3,4,5,6,12,15

Hence the highest common factor is 15

Narci can use 15 boxes to divide buttons equally.

She can divide 45 red buttons in 15 boxes by putting 3 buttons in each box.

She can divide 60 yellow buttons in 15 boxes by putting 4 buttons in each box.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x