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creativ13 [48]
3 years ago
14

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, t

he 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?
Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Answer:

Part a)

The quantity of fruit pies sold was 42

The quantity of juice bottles sold was 48

Part b) Mr. Kelly’s class earned more money

part c) \$29.52

Step-by-step explanation:

Part a)

Let

x-----> quantity of fruit pies sold

y----> quantity of juice bottles sold

we know that

x+y=90

x=90-y -----> equation A

1.32x+1.77y=140.40 ----> equation B

substitute equation A in equation B

1.32(90-y)+1.77y=140.40

118.8-1.32y+1.77y=140.40

0.45y=140.40-118.8

0.45y=21.6

y=48 bottles of fruit juice

Find the value of x

x=90-y ------> x=90-48=42 fruit pies

Part b) Which class earned more money?

Mr. Sanchez’s class

\$1.32x=1.32*42=\$55.44

Mr. Kelly’s class

\$1.77y=1.77*48=\$84.96

therefore

Mr. Kelly’s class earned more money

Part c) How much more money did that class earn?

Find the difference

\$84.96-\$55.44=\$29.52

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Answer:

16\frac{2}{3}cm

Step-by-step explanation:

Given dimensions:

           3\frac{1}{6} cm by 4\frac{2}{3}cm  by 5\frac{2}{3} cm

The total length:

 it is the sum of all the sides;

         \frac{19}{6}  + \frac{14}{3}   + \frac{17}{3}  

LCM of the denominators = 6 ;

   \frac{38 + 28 + 34}{6}  = \frac{100}{6}

                 = \frac{50}{3}

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5 0
3 years ago
A nature preserve worker calculates there are 6,000 deer in Sharon Woods Park. She also estimates that 75 more deer die than are
Nikolay [14]

The linear equation used to represent this situation is y = -75x + 6000

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let y represent the amount of deer present in x years. There are 6000 deer presently, hence a = 6000. Also 75 more deer die than are born each year. Hence m = -75.

The linear equation is given by:

y = -75x + 6000

In 3 years:

y = -75(3) + 6000

y = 5775

For there to be 5325 deer:

5325 = -75x + 6000

x = 9 years

Find out more at: brainly.com/question/21105092

5 0
2 years ago
Liz types 180 words in three minutes. At that rate how many minutes does it take her to type 1260 words
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21 minutes

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4 0
3 years ago
Merchandise was sold by an agent totaling $ 4,500.00 her rate of commission was 8% what was her comission
sleet_krkn [62]
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6 0
3 years ago
Keisha, Scott, and Ryan have a total of $101 in their wallets. Keisha has $6 more than Scott. Ryan has 3 times what Scott has. H
Yuri [45]

Answer:

Keisha =$25

Scott =$19

Ryan = $57

Step-by-step explanation:

Let the amount each have be represented by A, B and C

Keisha = A

Scott = B

Ryan = C

Keisha , Scott and Ryan have a total of $101.

That’s

A + B + C = $101

Keisha has $6 more than Scott

A = 6 + B

Ryan has 3 times Scott

C = 3B

Substitute 6+B for A and 3B for C in the first equation.

That’s

A + B + C = 101

6 + B + B + 3B = 101

6 + 5B = 101

Subtract 6 from both sides

6 - 6 + 5B = 101 - 6

5B = 95

Divide both sides by 5

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Recall Keisha has $6 more than Scott B.

That’s A = 6 + B

A = $6 + $19

A = $25

Keisha has $25

Also, Ryan C has 3 times what Scott B has .

That’s

C = 3 x B

C = 3 x 19

C = $57

Therefore, Keisha has $25, Scott has $19 and Ryan has $57

3 0
3 years ago
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