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luda_lava [24]
2 years ago
15

PLEASE HELP!!! Justin is running a race. He has completed 28 km, which happens to be 70% of the total race. How long is

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
8 0
Answer is 40km
Explanation:
So in this question we can use a proportion
Since
28km is 70% we can write it equal to 70%
28=70

and since 100% is unknown we can write it equal to x
100=x

Then we put it in proportion form

28/x=70/100


Then cross multiply and divide

28(100)/70=x

Which would equal 40
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A and B can fill a cistern in 4 hours. A and C can fill
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Answer:

20 hours

Step-by-step explanation:

We can work easier if we think in terms of an hour

the first equation that we can write is

A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)

the second equation we can write is

A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)

the third equation that we can write is

B = 2C  (its meaning is that in an hour B fill 2 times C the cistern)

now we can substitute the value of B in the first two equations

A + 2C = 1/4

A + C = 1/5

A = 1/5 - C

1/5 - C + 2C = 1/4

C = 1/4 -1/5

C = (5-4)/20

C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)

A = 1/5 - 1/20

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B = 1/20 *2 = 1/10

4 0
3 years ago
Admission tickets are $80 for adults and $50 for kids. The ration of kids to adults is 5:2. If they paid $10,000, find the numbe
Elan Coil [88]

Answer:

  80 adults

Step-by-step explanation:

The number of kids is $10,000/$50 = 200. The number of adults is 2/5 of that, or 80.

There are 80 adults in the group.

4 0
3 years ago
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