(score for question 3: _ of 16 points)
3. mr. sanchez's class sold fruit pies for $1.55 each and mr. kelly's class sold bottles of fruit juice for $1.40
each. together, the classes sold 60 items and earned $88.20 for their school.
(a) write and solve a system of equations that model the problem. show all your work
(b) which class earned more money?
(c) how much more money did that class earn?

a) Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.

b) Mr. Kelly's class

c) Mr. Kelly's classs earned  $1.40 more than Mr. Sanchez's class.

Step-by-step explanation:

Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.

Together, the classes sold 60 items, so

x + y = 60

Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.

Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.

Together, the classes  earned $88.20 for their school, so

1.55x + 1.40y = 88.20.

a) You get the system of two equations:

From the first equation:

Substitute it into the second equation:

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.

b) Mr. Sanchez's calss earned:

Mr. Kellyz's calss earned:

Since Mr. Kelly's class earned more.

c) Mr. Kelly's classs earned   more than Mr. Sanchez's class.

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week