6. A group of 280 elementary school students and 40 adults are going on a field trip.

They are planning to use two different types of buses to get to the destination. The

first type of bus holds 50 people and the second type of bus holds 56 people,

Andre says that 3 of the first type of bus and 3 of the second type of bus will hold all

of the students and adults going on the field trip. Is Andre correct? Explain your

reasoning

Respuesta :

Answer:

No because the buses are short 2 seats.

Step-by-step explanation:

280 students + 40 adults = 320 people

Bus type A holds 50 people

Bus type B holds 56 people

3 x 50 = 150 seats available for type A

3 x 56 = 168 seats available for type B

3a + 3b = c

3(50) + 3(56) = c

150 + 168 = 318

The buses seat 318 people and cannot accommodate 320 people.

Since 318  <  320, Andre is wrong that 3 of the first type of bus and 3 of the second type of bus will hold all

Number of elementary students going on a field trip = 280

Number of adults going on a field trip = 40

Total number of people going on the field trip = 280 + 40

Total number of people going on the field trip = 320

Let the number of people that the first type of bus can hold be x

x  =  50

Let the number of people that the second type of bus can hold be y

y  =  56

Number of people that 3 of the first type of bus can hold = 3(50)

Number of people that 3 of the first type of bus can hold =  150

Number of people that 3 of the second type of bus can hold = 3(56)

Number of people that 3 of the second type of bus can hold =  168

Number of people that all the 6 buses can hold = 150 + 168

Number of people that all the 6 buses can hold = 318

Since 318  <  320, Andre is wrong that 3 of the first type of bus and 3 of the second type of bus will hold all

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