Answer:
Ella should add [tex]32\dfrac{5}{6}[/tex] lbs of water.
Total weight of syrup [tex]33\dfrac{1}{3}[/tex] lbs
Step-by-step explanation:
Weight:
Weight of sugar = 0.5 lbs.
Weight of water added = x lbs
Total weight = 0.5 + x lbs
Percentage:
0.5 + x -- 100%
0.5 -- 1.5%
Write a proportion:
[tex]\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}[/tex]
Cross multiply:
[tex]1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs[/tex]
Ella should add [tex]32\dfrac{5}{6}[/tex] lbs of water.
Total weight of syrup
[tex]32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs[/tex]
