9514 1404 393
Answer:
A. d + j = 21,000; 2d − 2,000 = j
d = $7,666.67; j = $13,333.33
Step-by-step explanation:
The relationships given in the problem statement are ...
d + j = 21,000 . . . . . the total of the two loans is $21,000
2d -2000 = j . . . . . . Jen's is $2000 less than twice David's
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These equations can be solved by substituting for j:
d +(2d -2000) = 21000
3d = 23000 . . . . . . . . . . . add 2000, collect terms
d = 23000/3 = 7666.67 . . . divide by the coefficient of d
j = 21000 -d = 21000 -7666.67 = 13333.33
Jen's loan is $13,333.33; David's loan is $7,666.67.
