Problem: Table salt contains 39.33 g of sodium per 100 g of salt. The U.S. Food and Drug Administration (FDA) recommends that adults consume less than 2.40 g of sodium per day. A particular snack mix contains 1.21 g of salt per 100 g of the mix.What mass of the snack mix can you consume and still be within the FDA limit?

FREE Expert Solution

$$\begin{gathered} \left(\frac{39.33 \mathrm{g} \mathrm{Na}}{100 \mathrm{g} \mathrm{salt}}=\frac{2.40 \mathrm{g} \mathrm{Na}}{\cancel{\mathrm{x}}}\right)\cancel{\left(\mathrm{x}\right)} \\ \left(\frac{39.33 \mathrm{g} \mathrm{Na}}{100 \mathrm{g} \mathrm{salt}}\right)\mathrm{x}=2.40 \mathrm{g} \\ \mathrm{x}=2.40 \cancel{\mathrm{g} \mathrm{Na}}\left(\frac{100 \mathrm{g} \mathrm{salt}}{39.33 \cancel{\mathrm{g} \mathrm{Na}}}\right)=6.1022 \mathrm{g} \mathrm{salt} \\ \left(\frac{100 \mathrm{g} \mathrm{Snack}}{1.21 \mathrm{g} \mathrm{salt}}=\frac{\mathrm{y}}{\cancel{6.1022 \mathrm{g} \mathrm{salt}}}\right)\cancel{\left(6.1022 \mathrm{g} \mathrm{salt}\right)} \end{gathered}$$