evelyn82
03.01.2020 •
Mathematics
On two investments totaling $7,500, lydia lost 2% on one and earned 5% on the other. if her net annual receipts were $158, how much was each investment
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Ответ:
Lydia invested $ 3100 in investment lost 2 % and invested $ 4400 in investment that earned 5 %
Solution:
Given that on two investment totaling $ 7500
Lydia lost 2% on one and earned 5% on the other
Her net annual receipts were $158
To find: amount invested in both investments
Let Lydia invest $ x in first investment where she lost 2 %
Let Lydia invest $ y in second investment where she earned 5 %
Total investment given = 7500
x + y = 7500 ---- eqn 1
Net annual receipt = 158
5 % y- 2 % x = 158
0.05y - 0.02x = 158 ------- eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
x = 7500 - y
Substitute x = 7500 - y in eqn 2
0.05y - 0.02(7500-y) = 158
0.05y -150 + 0.02y = 158
0.07y = 158 + 150
0.07y = 308
y = 4400
Thus,
x = 7500 - y
x = 7500 - 4400
x = 3100
Thus she invested $ 3100 in investment lost 2 % and invested $ 4400 in investment that earned 5 %
Ответ: