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ehidna [41]
2 years ago
7

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will

have in each case. 1.5% syrup?
Mathematics
1 answer:
Oksanka [162]2 years ago
3 0

Answer:

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup 33\dfrac{1}{3} 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:

\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}

Cross multiply:

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

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup

32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs

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