Jack picks 5 pounds of apples in 8 minutes and Jill picks 6 pounds of apples in 10 minutes. Working together at this rate, how many pounds of apples will they pick in 40 minutes?
2007-09-05 02:16:31 · 12 answers · asked by Barbie 1 in Science & Mathematics ➔ Mathematics
Jack picks 5 pounds of apples in 8 minutes
Theefore in 1 minute,he picks 5/8 pounds and so in 40 minutes,he picks 5/8*40 or 25 pounds apple
Similarly in 10 minutes Jill picks up 6 pounds of apples
Hence in 40 minutes,she picks 6/10*40 or 24 pounds apple
therefore together they will pick up (25+24) or 49 pound apple in 40 minutes
2007-09-05 02:26:06 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Taking each in turn:
Jack picks 5 pounds in 8 minutes,
40 minutes is 5 times 8 minutes
therefore in 40 minutes he picks 5*5 = 25 pounds
Jill picks 6 pounds in 10 minutes
40 minutes is 4 times 10 minutes
therefore in 40 minutes, she picks 6*4 = 24 pounds
Both together pick 25 + 24 pounds
= 49 pounds
2007-09-05 02:30:57 · answer #2 · answered by AndrewG 7 · 0⤊ 0⤋
Need to use fractions:
(5/8) + (6/10) = (25/40)+(24/40) = (49/40) pounds per minute.
(49/40) pounds per minute x 40 minutes = 49 pounds.
Or alternatively:
In 8 minutes Jack picks 5 pounds of apples so assuming the same rate throughout in 40 minutes (5 x 8 minutes) Jack can pick (5 x 5 pounds) = 25 pounds.
In 10 minutes Jill picks 6 pounds of apples so in 40 minutes (4 x 10 minutes) she picks (4 x 6 pounds) = 24 pounds.
In total number of pounds picked = 25 (Jack) + 24 (Jill) = 49 pounds.
2007-09-05 02:27:50 · answer #3 · answered by Manny L 3 · 0⤊ 0⤋
In 40 minutes Jack picks up:
(40 x 5 ) / 8 = 25 Pounds
in 40 minutes Jill picks up:
(40 x 6) / 10 = 24 pounds
Together they pick up: 25 + 24 = 49 pounds.
2007-09-05 02:25:02 · answer #4 · answered by Nick S 2 · 0⤊ 0⤋
The way to approach the question is to consider the two people separately.
If Jack can pick 5 pounds of apples in 8 minutes, how many can he pick in 40 minutes? Well, 5 lots of 8 make 40 (5 * 8 = 40). So he can pick 5 times the amount he did in 8 minutes, which gives 5*5=25 pounds.
Similarly, Jill can pick 4 times the amount she did in 10 minutes, so she picks 6*4=24 pounds.
You're asked how many they both pick in 40 minutes, so add the Jack and Jills amounts: 25+24 = 49 pounds in 40 minutes.
2007-09-05 02:24:44 · answer #5 · answered by steppy333 2 · 0⤊ 0⤋
Jack picks 5 pounds of apples in 8 minutes --> picks 25 pounds in 40 minutes.
Jill, 6 pounds of apples in 10 minutes --> 24 pounds in 40 minutes.
--> Together: (25+24)=49 pounds in 40 minutes.
Saludos.
2007-09-05 02:23:53 · answer #6 · answered by lou h 7 · 0⤊ 0⤋
Jack picks 5 pounds of apples in 8 minutes. We need to know how many he will pick in 40 minutes. Since 8 goes 5 time in 40, we need to multiply the weight of apples he picks by 5.
8 minutes -> 5 pounds
40 minutes (8 * 5) -> 25 pounds (5 * 5)
Jill picks 6 pounds of apples in 10 minutes. We need to know how many she will pick in 40 minutes. Since 10 goes 4 times in 40, we need to multiply the weight of apples she picks by 4.
10 minutes -> 6 pounds
40 minutes (10 * 4) -> 24 pounds (6 * 4)
How many did they pick together in 40 minutes = 24 pounds + 25 pounds = 49 pounds.
2007-09-05 02:21:52 · answer #7 · answered by Chameleon 2 · 0⤊ 0⤋
49 pounds of apples because
jack picks 5 pounds of aspples in 8 minutes if we divide 8 by 40 the answer is 5 so we must multiply 5 by 5 the answer is 25.......
jill picks 6 pounds of apples in 10 minutes if we divide 10 by 40 the answer is 4 we must multiply 6 by 4 the answer is 24
so get the total 25 pounds of apples from jack and 24 pounds of apples from jill add it! (25+24=49)
the answer is 49 pounds of apples! get it?
2007-09-05 03:16:53 · answer #8 · answered by RR 1 · 0⤊ 0⤋
This is solved by using ratios.
Jack's ratio is (5 pounds/8 minutes) in pounds per minute
Jill's ratio is (6 pounds/10 minutes) in pounds per minute
The total number of apples is therefore given by:
40 minutes(Jack's ratio + Jill's ratio)
40 minutes times (5/8 + 6/10) pounds/minute = 49 pounds
Another term for "ratio" is "rate"
2007-09-05 02:24:22 · answer #9 · answered by Roger S 7 · 0⤊ 0⤋
Jack can pick 5 pounds per 8 minutes, or
5/8 pound per minute.
Jill can pick 6 pounds per 10 minutes, or
6/10 pounds per minute
Together, they can pick ((5/8)+(6/10)) =
((25/40)+(24/40)) = (49/40) pounds per
minute.
So, together they can pick (49/40)*40 =
49 pounds in 40 minutes.
2007-09-05 02:27:31 · answer #10 · answered by yljacktt 5 · 0⤊ 0⤋