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SAT Math: Choosing a System of Equations to Represent a Truck's Load 3 Views


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Description:

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?


Transcript

00:03

Okay as seti math shmoop er's first our condolences What

00:07

you have to do here And second Well let's Keep

00:09

going Tracking shipping farce of iron bars of cover of

00:12

ours One of our ways with pounds of iron bar

00:13

weighs one pound entire shipment weighs two thousand six hundred

00:15

seventy pounds and are a total of six hours of

00:17

metal Filing systems of equations accurately represents See the number

00:19

of copper bars and i the number of iron bars

00:22

Okay when you answer these always look first at the

00:24

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

00:27

letter e or a w in there And you could

00:29

just cross that off and get a freebie and improve

00:32

your odds of getting the right answer But here they

00:34

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

00:38

medal medal there Alright by diving right into this problem

00:42

it says that c is the number of copper bars

00:45

and that i is the number of iron bars Well

00:47

it also says there are a total of sixty bars

00:50

of metal either one So we can add up both

00:53

types to arrive at the first equation Right So c

00:55

plus size sixty weigh in one more factor The wait

00:59

wait though the way copper bars weigh fifty pounds each

01:02

so give See a coefficient of fifty iron bars weigh

01:05

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

01:08

a forty right forty i The total weight is two

01:11

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

01:14

that should equal right fifty c plus forty eyes to

01:17

six Seven Oh put these two equations together to get

01:19

the system of equations that we need that c plus

01:22

size sixty and fifty c plus forty i is twenty

01:25

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

01:27

can sort of feel good about yourself go home and

01:30

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

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