The ratio of boys to girls in the classroom is 12:25 if there are 120boys how many girls are there

Mathematics

2 answers:

Ann [662]2 years ago

8 0

Call x is the number of girls in the classroom.
12/120 = 25/x
x = 120*25/12
x=250
Answer 250 girsl

lesya [120]2 years ago

4 0

Ask yourself what do I have to multiply by 12 to get an answer of 120 ( you can just do 120/12, which is 10) then, you multiply the other side by ten as well

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Read 2 more answers

Two cars start out together from the same place. they travel in opposite directions, with one of them traveling 5 miles per hou

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Annotation
General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.

One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5 (first equation)

The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)

Plug the d-v-t relationship to the second equation
d₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262

Plug the v₁ as (v₂+5) from the first equation
2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.

Find the velocity of the first car, use the first equation
v₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.

Answer
$\boxed{\boxed{ v_{1}=68mph} }$
$\boxed{\boxed{ v_{2}=63mph} }$

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3 years ago

The ratio of boys to girls in the classroom is 12:25 if there are 120boys how many girls are there​

The ratio of boys to girls in the classroom is 12:25 if there are 120boys how many girls are there