#### Answer

a. 1.8 g sucrose
b. 1x$10^{-2}$ g sucrose
c. 0.46x$10^3$ g sucrose

#### Work Step by Step

Mass percent is the number of grams of solute per 100g of solution.
a. A solution with a concentration of 3.7% sucrose by mass contains 3.7g of sucrose per 100 g of solution. Hence 48g of solution contains:
(3.7g sucrose/100g of solution) x 48 g solution = 1.8g sucrose
b. So a solution with a concentration of 10.2% sucrose by mass contains 10.2g of sucrose per 100 g of solution.
Hence 103 mg of solution contains:
(10.2g sucrose/100g of solution) x 103 mg solution x $10^-3$ g/1mg)
= 1x$10^-2$ g sucrose
c. So a solution with a concentration of 14.3% sucrose by mass contains 14.3g of sucrose per 100 g of solution.
Hence 3.2 kg of solution contains:
(14.3g sucrose/100g of solution) x 3.2 kg solution x $10^3$ g/1mg
= 0.46x$10^3$ g sucrose