SOLUTION: I planted a total of 75 bean and squash plants. Write an equation to show this.The bean seedlings were $2.26 each, the squash vines were $1.27 each. I spent a total of $123.96.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: I planted a total of 75 bean and squash plants. Write an equation to show this.The bean seedlings were $2.26 each, the squash vines were $1.27 each. I spent a total of $123.96.       Log On

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Question 580495: I planted a total of 75 bean and squash plants. Write an equation to show this.The bean seedlings were $2.26 each, the squash vines were $1.27 each. I spent a total of $123.96. Write an equation to show this.How many bean seedlings did I plant?How many squash vines did I plant
How do I work this problem?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of bean seedlings planted
Let +b+ = number of squash vines planted
given:
(1) +a+%2B+b+=+75+
(2) +226a+%2B+127b+=+12396+ ( in cents )
-------------------------
Multiply both sides of (1) by +127+
and subtract (1) from (2)
(2) +226a+%2B+127b+=+12396+
(1) +-127a+-+127b+=+-9525+
+99a+=+2871+
+a+=+29+
and, since
(1) +a+%2B+b+=+75+
(1) +29+%2B+b+=+75+
(1) +b+=+75+-+29+
(1) +b+=+46+
29 bean seedlings were planted
46 squash vines were planted
check:
(2) +226a+%2B+127b+=+12396+
(2) +226%2A29+%2B+127%2A46+=+12396+
(2) +6554+%2B+5842+=+12396+
(2) +12396+=+12396+
OK