Answer:
The two cards she should select are:
a) [tex]2\frac{2}{5}[/tex]
e) [tex]2\frac{5}{8}[/tex]
Explanation
A mixed number is an addition of its whole and fractional parts.
a)
[tex]2+\frac{2}{5} \\\\2*\frac{5}{5} +\frac{2}{5} \\\\\frac{2*5}{5} +\frac{2}{5} \\\\\frac{10+2}{5} \\\\\frac{12}{5} = 2.4[/tex]
b)
[tex]2+\frac{2}{7} \\\\2*\frac{7}{7} +\frac{2}{7} \\\\\frac{2*7}{7} +\frac{2}{7} \\\\\frac{14+2}{7} \\\\\frac{16}{7} = 2.28[/tex]
c)
[tex]1+\frac{7}{8} \\\\1*\frac{8}{8} +\frac{7}{8} \\\\\frac{1*8}{8} +\frac{7}{8} \\\\\frac{8+7}{8} \\\\\frac{15}{8} = 1.87[/tex]
d)
[tex]2+\frac{1}{10} \\\\2*\frac{10}{10} +\frac{1}{10} \\\\\frac{2*10}{10} +\frac{1}{10} \\\\\frac{20+1}{10} \\\\\frac{21}{10} = 2.1[/tex]
e)
[tex]2+\frac{5}{8} \\\\2*\frac{8}{8} +\frac{5}{8} \\\\\frac{2*8}{8} +\frac{5}{8} \\\\\frac{16+5}{8} \\\\\frac{21}{8} = 2.62[/tex]
After solving each mixed number we can see that the only two values that add up to +5 are a) 2.4 and e) 2.62
2.4 + 2.62 = 5.02
