CMAS Grades 6-8 Ratios & Proportional Relationships. Practice it free.

Use a conversion factor with inches in the numerator so hands cancel: $15 \text{ hands} \times \dfrac{4 \text{ in}}{1 \text{ hand}} = 60 \text{ in}$.

Two quarts of water is $2 \times 4 = 8$ cups. With a $6$ to $24$ ratio, $\dfrac{6}{24} = \dfrac{x}{8}$, so $24x = 48$ and $x = 2$ cups of concentrate.

$\dfrac{7}{20} = 0.35$.

Discount: $\dfrac{25}{100} \times \text{\char36}100 = \text{\char36}25\textsf{.}$ Sale price: $\text{\char36}100 - \text{\char36}25 = \text{\char36}75\textsf{.}$

$\dfrac{36}{60} = 0.6 = 60\%\textsf{.}$

Convert $8\%$ to a decimal and multiply: $0.08 \times 500 = 40$ jars.

$40\% = 0.4\textsf{.}$ Then $0.4 \times 70 = 28\textsf{.}$

Convert: $30\% = 0.3$. Then $0.3 \times 90 = 27$.