L + G = 8000
L/4 + 3G/5 = 2875
L + 12G/5 = 11500

7G/5 = 3500
G = 2500
L = 8000-2500 = 5500
B
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Weighted values, similar to mixtures, solving for loans. An $8000 loan package consisted of loans and grants.

L + G = 8000
G = 8000 - L

One-fourth of L and three-fifths of G were designated for personal living expenses, which totaled $2875

\(\frac{1}{4}\)L + \(\frac{3}{5}\)G = 2875

\(\frac{1}{4}\)L + \(\frac{3}{5}\)(8000 - L) = 2875

\(\frac{1}{4}\)L + 4800 - \(\frac{3}{5}\)L = 2875

4800 - 2875 = \(\frac{3}{5}\)L - \(\frac{1}{4}\)L

1925 = \(\frac{7}{20}\)L

1925 * \((\frac{20}{7})\) = L

5500 = L

Answer B
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Let Jamal's loans be L and his grants is G

\(L + G = 8000\)
Multiplied by 5, \(5L + 5G = 40000\) -> (1)

\(L/4 + 3G/5 = 2875\)
\(5L + 12G = 57500\) -> (2)

(2) - (1) 7G = 17500 => G = 2500

Therefore, L = 5500(Option B)
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L+G = 8,000--- (1)
1/4L+3/5G = 2,875----(2)

L = 5,500 (B)