Nate is tiling a floor with a pattern that requires 16 white tiles for every 9 blue tiles. The floor has an area of 600 square feet, and each tile is 1 square foot. How many of each color tile does Nate need?
Ok, think of a pattern. In the pattern there are 16 white tiles, and then 9 of another color. So if you add those numbers together, you'll get 25 tiles total. The pattern is repeated over and over again until there are 600 tiles total. Now divide 600 by 25 and you get 24. Now multiply 16 by 24 and you find out that you have 384 total white tiles. Multiply 9 by 24 and you find that you have 216 of the other color. Check the answer: 384 plus 216 equals 600.
16 + 9 = 25 (amount of tiles in the pattern)
600 / 25 = 24 (number of times the pattern is repeated)
24 x 16 = 384 (number of white tiles)
24 x 9 = 216 (number of other tiles)
216 + 384 = 600 (check, correct number of tiles)
Jeremy buys moving boxes for his dad’s company. His dad told him to buy a total of 288 boxes and to buy 5 medium boxes for every 7 large boxes. How many of each size box should he buy?
Nate needs 384 white tiles and 216 blue tiles.
$300 is total. Size should be large boxes
Jeremy should buy 120 medium boxes and 168 large boxes.
Ratio of white : blue = 12:9
Generous Grievous: Just blurting out the answer is of no help !
let the number of whites be 12x and the number of blues be 9x
12x+9x = 600
25x = 600
x = 600/25 = 24
whites = 16x = 16*24 = 384
blues = 9x = 9*24 = 216