The van can carry 18 students and bus can carry 21 students.
Solution:
Given that,
Senior class at high school "a" rented and filled 9 vans and 5 buses with 267 students.
High school "b" rented and filled 10 vans and 10 buses with 390 students.
Each van and each bus carried the same number of students.
Let the capacity of van be "m", and capacity of bus be "n"
Then, according to given information,
For school a ⇒ 9m + 5n = 267 ⇒ (1)
For school b ⇒ 10m + 10n = 390
⇒ m + n = 39
⇒ m = 39 – n ⇒ (2)
Substitute (2) in (1)
9(39 – n) + 5n = 267
⇒ 351 – 9n + 5n = 267
⇒ 9n – 5n = 351 – 267
⇒ 4n = 84
⇒ n = 21
Then, m + 21 = 39
⇒ m = 39 – 21
⇒ m = 18
Hence, van can carry 18 students and bus can carry 21 students.
Answer:
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Step-by-step explanation:
the local amusement park is a popular field trip destination. this year the senior class at high school a and the senior class of highscool b both planned trips there. the senior class at highschool a rented and filled 14 vans and 12 busses with 612 students. highschool b rented and filled 7 vans and 13 busses with 516 students. each van and bus carried the same number of students. how many students can a van carry? how many students can a bus carry?
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is a tangent to the curve
at the point (3,5). Find A, the coefficient of
Answer:
Step-by-step explanation:
The equation of the curve is
.
The gradient function is given by
The gradient of this curve at the point (3,5) is equal to the gradient of the tangent which is 11.
The given point, (3,5) also satisfies the equation of the curve.
Equation (2) minus equation (1) gives
This implies that;
The expression 8/f represents how many pieces of candies each of Nellie's friends received when she divided 8 pieces of candy equally among them.
The problem presented involves dividing a certain number of items (candies) evenly among a certain number of people (friends). This situation deals with division, a basic concept in mathematics. If Nellie has 8 pieces of candy and wants to split it equally among f friends, each friend would receive 8/f pieces of candy. This is because division is the process of partitioning a quantity into equal parts, so dividing 8 candies by the number of friends will give the pieces each friend will get.
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