Question

a supplier sells 2 1/4 lbs mulch for every 1 1/3 lbs gravel. the supplier sells 172 pounds of them combined. how many pounds of each does the supplier sell

Answer 1

$x-amount\ of\ each\\\\2\frac{1}{4}x+1\frac{1}{3}x=172\\\\\frac{9}{4}x+\frac{4}{3}x=172\\\\\frac{27}{12}x+\frac{16}{12}x=172\\\\\frac{43}{12}x=172\ \ \ \ \ \ \ |\cdot\frac{12}{43}\\\\x=172\cdot\frac{12}{43}\\\\x=48\\\\Supplier\ sells\ 48\ pounds\ of\ each.$