A company received a shipment of 2 types of parts. Three brass and 10 steel parts cost $48. A second shipment containing 7 brass and 4 steel parts cost $54. How do you solve system to find the cost of each part?

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A company received a shipment of 2 types of parts. Three brass and 10 steel parts cost $48. A second shipment containing 7 brass and 4 steel parts cost $54. How do you solve system to find the cost of each part?

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Answer 1 · 2015-10-23T00:44:19

I found:
brass: #$6#
steel: #$3#

Explanation:

Call the brass part #b# and steel #s#, so you get:
#{(3b+10s=48),(7b+4s=54):}#
from the first equation:
#b=(48-10s)/3# substitute into the second:
#7(48-10s)/3+4s=54#

#336-70s+12s=162#

#58s=174#

#s=174/58=3#
substitute back into: #b=(48-10s)/3#
#b=18/3=6#

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A company received a shipment of 2 types of parts. Three brass and 10 steel parts cost $48. A second shipment containing 7 brass and 4 steel parts cost $54. How do you solve system to find the cost of each part?

1 Answer

Explanation:

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