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This one hits unit 1.1 in 8th grade- Everyone should be able to figure it out though! Give it a try!
Three watermelons and two cantaloupes weigh 32 pounds.
Four watermelons and three cantaloupes weigh 44 pounds. All
watermelons weigh the same and all cantaloupes weigh the
same. What is the weight of two watermelons and one
cantaloupe?
this might be wrong... it took me like 3 seconds...
ReplyDelete3w+2c = 32
4w+3c = 44
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difference is 12.
so um 2w+1c = 32-12
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anwser is: 2w+1c = 20
i had to retype all of this because it deleted it. umm this might be wrong:
ReplyDeleteso 3w+ 2c = 32
4w+ 3c = 44
-------------------------
the difference is (+) 12
so 2w+1c = 32 - 12
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the answer is : 2w+1c = 20
oh wait delete that i did it 2 times
ReplyDelete44-32=12
ReplyDelete8*3=24
4*2=8
8*2=16
4*1=4
16+4=20
The answer would be 20 pounds.
Two watermelons= 16 pounds
One cantalope= 4 pounds
It would be 18 pounds for 2 watermelons and 1 cantaloupe. 10.5 pounds for one watermelon, and 7.5 pounds for 1 cantaloupe.
ReplyDelete- Henry Pratt
the weight of two watermelons and one cantaloupe is 20 pounds
ReplyDeleteTwo watermelon and one cantaloupe weigh 20 pounds in all because one cantaloupe weighs 4 pounds and 2 watermelon weigh 16 punds so 16+4=20 pounds in all.
ReplyDeleteI solved the problem by using substitution. I wrote out 3w=2c=32 but changed it into mx=b by doing 2c=-3w+32.
Then the second equation was 4w+3c=44.
For the first equation i figured out c by dividing 2 on both sides so it equaled c=-1.5w+16. Then i inserted that into the other quation so 4w=3(-1.5w+16)=44 then i did the distributive property and it was 4w-4.5w+48=44. I subtracted on both sides and ended up with -.5w=-4. I then divided by -.5 on both sides and figured out w=8. Then i inserted 8=w into the first equation and c ennded up equaling 4. So then you do w*2=16 pounds +1c= 20 pounds in all