Problem:
a ring contains 50% gold. if the ring weights 60 grams, how many grams of gold does it contain
Solution:
[tex]b = 60[/tex]
[tex]r = 50\%[/tex]
[tex] \red{p = 60 \times 50\%}[/tex]
[tex]p = 60 \times \frac{50}{100} [/tex]
[tex]p = 6 \times \frac{50}{10} [/tex]
[tex]p = \frac{300}{10} [/tex]
[tex] \purple{p = \boxed{30}}[/tex]
Checking:
1.
[tex]p = 30[/tex]
[tex]r = 50\%[/tex]
[tex] \purple{b = 30 \div 50\%}[/tex]
[tex]b = 30 \div \frac{50}{100} [/tex]
[tex]b = 30 \times \frac{100}{50} [/tex]
[tex]b = 3 \times \frac{100}{5} [/tex]
[tex]b = \frac{300}{5} [/tex]
[tex] \red{b = \underline{60}}[/tex]
2.
[tex]p = 30[/tex]
[tex]b = 60[/tex]
[tex] \purple{r = \frac{30}{60} \times 100}[/tex]
[tex]r = \frac{30}{6} \times 10[/tex]
[tex]r = \frac{300}{6} [/tex]
[tex] \red{r = \underline{50\%}}[/tex]
Final Answer:
It contains 30 grams of gold
Always remember that:
[tex] \blue{p = b \times r}[/tex]
[tex] \blue{b = p \div r}[/tex]
[tex] \blue{r = \frac{p}{b} \times 100}[/tex]
#CarryOnLearning
