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DerKrebs [107]
3 years ago
6

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 22 kilograms each, and the small box

es weigh 10 kilograms each.
There are 125 boxes in all. If the truck is carrying a total of 1970 kilograms in boxes, how many of each type of box is it carrying?

Mathematics
1 answer:
ella [17]3 years ago
3 0

Answer:

50 large 87 small

Step-by-step explanation:

Coffee, Tea, Oreo

Yum Yum

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Step-by-step explanation:

For the sake of the problem, let's make female workers "x" and male workers "y".

x+y<40       This equation shows that the total number of workers has a max of 40.

30x+20y<1,000      This equation shows that the total cost the manager pays ($30 to each woman, $20 to each man) has a max of $1,000.  

Now you can solve for x and y.

X+y<40

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X<-y+40

Substitute -y+40 in for X in the second equation

30(-y+40)+20y<1,000      

-30y+1200+20y<1,000         Distribute

-10y+1,200<1,000      Combine like terms

-10y<-200                   Subtract 1,200

y>20                Divide by -10; flip the sign

Since y>20, and y=male workers, you now know that the minimum

number of male workers he should send is 20

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