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# Word Problem I need help to set up the equation

Osborne invested \$17000 in stocks and bonds.  if he made a 10% profit on his stocks and a 7% profit on his bonds, and the combined profit was \$1,280, how much did Osborne invest in stocks?

I have no idea how to set up this equation

### 2 Answers by Expert Tutors

Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
5.0 5.0 (443 lesson ratings) (443)
1
Word Problem I need help to set up the equation.
Osborne invested \$17000 in stocks and bonds. if he made a 10% profit on his stocks and a 7% profit on his bonds, and the combined profit was \$1,280, how much did Osborne invest in stocks?

Let x = the amount of money Osborne invested in stocks
Let y = the amount he invested in bonds

We have two unknowns (x and y) so we need two equations relating the unknowns to solve the problem.

Equation 1: Osborne invested \$17000 in stocks and bonds

x + y = 17000

Equation 2: He made a 10% profit on his stocks and a 7% profit on his bonds, and the combined profit was \$1,280

x*(0.10) + y*(0.07) = 1280

OK, I set it up for you.  Can you finish it from here?
Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (11 lesson ratings) (11)
0
another solution:

S=amount invested in stocks
\$17,000-S=amount invested in bonds
10%*S+7%*(\$17,000-S)=\$1280
10%*S+7%*(\$17,000)-7%*S=\$1280
0.1S+\$1190-0.07S=\$1280
0.03S=\$1280-\$1190
0.03S=\$90
3S=\$9000
S=\$9000/3
S=\$3000 invested in stocks
\$17,000-\$3000=\$14,000 invested in bonds
check:
10%*\$3000+7%*\$14,000=(0.1*\$3000)+(0.07*\$14,000)=\$300+\$980=\$1280