Ben is making a dessert that requires 2 1/2 lb of strawberries and 1 1/2 lb of blueberries. strawberries cost $1 less per pound than blueberries. ben spent a total of $9.50 on the fruit. what is the price per pound of each type of fruit?

Hello!

Ben needs 2.5 lb of strawberries and 1.5 lb of blueberries.

If S is the price per pound of strawberries and B is the price per pound of blueberries, we know that:

B - S = $1

2.5*S + 1.5*B = $9.50

In the first equation we can isolate B as B = $1 + S, and now can replace it in the second equation:

2.5*S + 1.5*B = $9.50

2.5*S + 1.5*($1 + S) =$9.50

2.5*S + 1.5*s + $1.50 = $9.50

4*S = $9.50 - $1.50 = $8

S = $8/4 = $2

now we can replace it in the first equation and get:

B - $2 = $1

B = $3

then the price per pound of strawberrys is $2 and for blueberrys is $3.

the first question mark is 6 and the second question mark is 26 (the square root)

step-by-step explanation:

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 ☺