A restaurant sold 250 drinks in a night. Some of the drinks were sold for $2 each, and the rest for $5 each. If the total sales of drinks for the night was $830, how many $2 drinks were sold? 110
140
145
150
155

?

140

Step-by-step explanation:

Suppose,

x drinks were sold for 2$

y drinks were sold for 5$

therefore, x+y = 250( 1 )

and 2x+5y = 830( 2 )

multiply equation ( 1 ) with 2,

2x+2y = 500( 3 )

Subtract equation ( 3) from (2)

3y = 330

or, y = 110

so, x = 140

so, 140 drinks were sold for 2$

the line of

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 ☺