A truck is shipping bars of iron and bars of copper. One copper bar weighs 50 pounds, and one iron bar weighs 40 pounds. The entire shipment weights 2670 pounds, and there are a total of 60 bars of metal. Which of the following systems of equations accurately represents c, the number of copper bars, and i, the number of iron bars?

Heart of Algebra | Systems of linear equations in two variables (word problems) |

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seventy pounds and are a total of six hours of

metal Filing systems of equations accurately represents See the number

of copper bars and i the number of iron bars

Okay when you answer these always look first at the

answer sets Sometimes they'll throw in a d or a

letter e or a w in there And you could

just cross that off and get a freebie and improve

your odds of getting the right answer But here they

give you no such favors So let's prove our math

medal medal there Alright by diving right into this problem

it says that c is the number of copper bars

and that i is the number of iron bars Well

it also says there are a total of sixty bars

of metal either one So we can add up both

types to arrive at the first equation Right So c

plus size sixty weigh in one more factor The wait

wait though the way copper bars weigh fifty pounds each

so give See a coefficient of fifty iron bars weigh

forty pounds each so i get to go efficient They're

a forty right forty i The total weight is two

thousand six hundred seventy that's total so that's what everything

that should equal right fifty c plus forty eyes to

six Seven Oh put these two equations together to get

the system of equations that we need that c plus

size sixty and fifty c plus forty i is twenty

six seventy and that's it the answer's Right there You

can sort of feel good about yourself go home and

don't know unwrap a nice metal bar and not eat 00:01:33.315 --> [endTime] it You know lower calories in chocolate bars though