Question

A company manufactures two types of fishing rods, standard and folding. The cost of manufacturing 2 folding rods and 1 standard is $35. If 5 standard and 7 folding rods were manufactured, the cost would be $145. How much does it cost to manufacture each type of rod.

Answer 1

Explanation:

A company manufactures two types of fishing rods, standard and folding. The cost of manufacturing 2 folding rods and 1 standard is $35. If 5 standard and 7 folding rods were manufactured, the cost would be $145. How much does it cost to manufacture each type of rod.

let S = standar rod

F= folding rod

2F + S =35

2F + S -2F =35 - 2F

or S = 35-2F

7F + 5S =145

7F + 5S -7F =145 -7F

or 5S =145-7F

Since S=35-2F

5S = 5X (35-2F)

5S = 175 -10F

which equals 145-7F

175-10F = 145-7F

175-10F +10F = 145 -7F + 10F

175 = 145 +3F

175 -145 =145 -145 + 3F

30 = 3F

F = 10

but S =35 - 2F

so S = 35 -2X10

S = 35-20 =15

check:

if F = 10 and S = 15

then 5S +7F should equal 145

5X15 + 7X10 = 75 + 10 =145

so F=10, S=15