The fifth-grade classes at Brookfield School used five identical buses to go on a field trip. •There were a total of 40 seats on
1 answer:
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Let the capacity of bus be x students
And van be y students, now ;
From the given statements we get two equations ~
multiply the equation (2) with 2 [ it won't change the values ]
Now, deduct equation (1) from equation (3)
Therefore each bus can carry (x) = 45 students
Now, plug the value of x in equation (1) to find y ~
Hence, each van can carry (y) = 17 students in total.
Answer:
Step-by-step explanation:
As 2 and 7 are the only prime divisors of both and
we know that both can be written as:
Where is the set of all natural numbers adding the zero (careful because this part is important as I'll explain next).
We also know that 14 divides both numbers and that is actually the greatest common divisor between them. So we can rewrite a and b as follows:
Why do I write them like this? Because this way is easier to observe that if and
were both greater than zero, then 28 would divide both hence 14 wouldn't be their g.c.d.. Likewise, if
and
were both greater than zero, then 98 would divide both and once again, 14 wouldn't be their g.c.d.
So either of them has to be equal to zero. And then we have that
All we have left to do is find the possible values for and
so that
and that only happens if
and