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Math HW!!! PLEASE HELP!!!!?
A full crate of apples weighed 230 pounds. After 4/5 of the apples were sold, the remaining apples and crate weighed 90 pounds. The weight of the crate when empty is ________ pounds.
3 Answers
- Anonymous1 year agoFavorite Answer
I'm going to assume the 230 lbs refers to the apples and the crate. Let X be the weight of apples and Y is the weight of the crate.
X + Y = 230 lbs
0.2X + Y = 90 lbs
Substract the second equation from the first.
0.8X = 140 lbs
X = 175 lbs. The crate weighs 55 lbs
check
If 4/5 of the apples are sold, 1/5 remains or 35 lbs. 35 lbs + 55 lbs = 90 lbs
- ?Lv 71 year ago
let c = weight of crate and a = weight of apples
Initially the full crate of apples weights 230 lbs:
c + a = 230
After 4/5 of the apples are sold, the crate and the remaining 1/5 of the apples weighs 90 lbs.
c + a/5 = 90 : multiply by 5
5c + a = 450
Difference of the two equations:
5c + a - (c+a) = 450 - 230
4c = 220
c = 55 lbs
The crate weighs 55 lbs.
- ?Lv 71 year ago
A full crate of apples weighed 230 pounds.
After 4/5 of the apples were sold,
the remaining apples and crate weighed 90 pounds.
The weight of the crate when empty is ________ pounds.
The weight apples + weight of crate = 230 pounds
The weigh of 1/5 apples + weight of crate = 90 pounds
4/5 apples' weight = (230 - 90) pounds
The apples' weight = (140)(5/4) = 175 pounds
The weight of the crate = (230 - 175) pounds = 55 pounds