Mr. sanchez’s class sold fruit pies for $1.32 each and mr. kelly’s class sold bottles of fruit juice for $1.77 each. together, the classes sold 90 items and earned $140.40 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)  

(b) Mr. Kelly's class earned more money.

(c) $29.52.

Step-by-step explanation:

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

We have been given that Mr. Sanchez’s class sold fruit pies for $1.32 each. So the earnings from selling x fruit pies will be 1.32x.

Mr. Kelly’s class sold bottles of fruit juice for $1.77 each. So the earnings from selling y bottles of fruit juice will be 1.77y.

As total earnings are $140.40 for their school. So we can represent this situation in an equation as:

As the classes sold 90 items, so we can represent this situation in an equation as:

Therefore, our required system of equation will be:

(b) Let us find the number of fruit pies and juice bottles by using substitution method of solve system of equations.

From equation (2) we will get,

Substituting this value in equation (1) we will get,

Upon using distributive property we will get,

As Mr. Kelly's class sold 48 bottles of fruit juice, so earnings from selling 48 bottles of juice will be:

Therefore, earnings of Mr. Kelly's class from selling 48 bottles of juice will be $84.96.

Let us find the number of fruit pies by substituting y=48 in equation (2).

As Mr. Sanchez’s class sold 42 fruit pies, so earnings from selling 42 fruit pies be:

Therefore, earnings of Mr. Sanchez's class from selling 42 fruit pies will be $55.44.

As $84.96 is greater than $55.44, therefore, Mr. Kelly's class earned more money.

(c) To find the amount of more money earned by Mr. Kelly's class let us subtract earnings of Mr. Sanchez's class from earnings of Mr. Kelly's class.

Therefore Mr. Kelly, class earned $29.52 more than Mr. Sanchez's class.

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116