Adelivery truck is transporting boxes of two sizes: large and small. the combined weight of a large box and a small box is 60 pounds. the truck is transporting 70 large boxes and 55 small boxes. if the truck is carrying a total of 3975 pounds in boxes, how much does each type of box weigh?

The small box weights 15 pounds, and the large box weights 45 pounds.

Step-by-step explanation:

1. Let's review all the information given to answer the question correctly:

Weight of small and large box combined = 60 pounds

Truck is transporting 70 large boxes and 55 small boxes

Total weight of the boxes the truck is carrying = 3,975 pounds

2.  How much does each type of box weigh?

Weight of the small box = x

Weight of the large box = 60 - x

For solving the value of x, we use the following equation:

70 * (60 - x) + 55 * x = 3,975

4,200 - 70x + 55x = 3,975

- 15x = 3,975 - 4,200 (Like terms)

- 15x = -225

x = 15 (Dividing by 15 at both sides)

The small box weights 15 pounds, therefore the large box weights 45 pounds (60 - 15).

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

answer: your answer is c

step-by-step explanation: