1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MrRissso [65]
3 years ago
10

A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $329.99. If 30

total mowers were sold and the total sales for a given year was $8379.70, find how many of each type were sold.
Mathematics
1 answer:
Annette [7]3 years ago
8 0

19 small mowers and 11 large mowers are sold

<em><u>Solution:</u></em>

Let "a" be the number of small mowers sold

Let "b" be the number of large mowers sold

Cost of each small mower = $ 249.99

Cost of each large mower = $ 329.99

<em><u>30 total mowers were sold</u></em>

Therefore,

a + b = 30

a = 30 - b ------------- eqn 1

<em><u>The total sales for a given year was $8379.70</u></em>

<em><u>Thus we frame a equation as:</u></em>

number of small mowers sold x Cost of each small mower + number of large mowers sold x Cost of each large mower = 8379.70

a \times 249.99 + b \times 329.99 = 8379.70

249.99a + 329.99b = 8379.70 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

249.99(30 - b) + 329.99b = 8379.70

7499.7 - 249.99b + 329.99b = 8379.70

80b = 8379.70 - 7499.7

80b = 880

Divide both sides by 80

b = 11

<em><u>Substitute b = 11 in eqn 1</u></em>

a = 30 - 11

a = 19

Thus 19 small mowers and 11 large mowers are sold

You might be interested in
Izzys dog is 10 1/2 years old. Car end dog is 18 months old. How many years older is Izzys dog.
dsp73
12 months in a year. So 18 months= 1 year and 6 months. Izzys dog is 10 1/2= 10 years and six months. Then subtract 1 year and 6 months by 10 year and six months and it would be exactly 9 years older.
6 0
3 years ago
What does Csc²x equal to?<br><br> A- 1<br><br> B- 1 + sec²x<br><br> C- 1 / sin²x<br><br> D- 1-cos x
Lorico [155]

Answer:

C - 1 / sin^2x

Step-by-step explanation:

as csc x = 1 / sin x

so, csc^2 x = 1 / sin^ 2x

4 0
2 years ago
Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should t
Paraphin [41]
The triangle inequality tells you the third side will be between the difference and sum of the other two sides.

5 < third side < 21
6 0
3 years ago
Calculate the percent decrease 34,000 2,720
Alekssandra [29.7K]
Take 2,720/34,000=.0806. This means that 2,720 is 8.06% of the original number. In order to find the percentage of decrease, you take 100%-8.06%, which equals 91.94%. Your answer is 91.94%.
7 0
3 years ago
Help me please it would help
Alex73 [517]

Answer:

2.) 11(17/21)

3.) -18(3/5)

4.) -28

​​

6 0
2 years ago
Read 2 more answers
Other questions:
  • All real numbers no more than five units from -14
    12·1 answer
  • What number is 20% of 625
    6·2 answers
  • Randall bought 2 game controllers at Electronics Plus for $36. What is the unit rate for game controller at Electronics Plus?
    12·2 answers
  • If TUVW is a parallelogram what is the length of TU
    6·2 answers
  • solve: 9 x squared minus 12x + 4 equals 0. give answer as a fraction or integer do not use decimals do not put space in answer​
    13·1 answer
  • Find the value of t. Write your answer as a decimal number. 88.65 t 88.75 on a number line?
    6·1 answer
  • X-y=2<br> 3x – 2y = 2<br> How do u elimination it
    11·1 answer
  • What’s the perimeter
    8·1 answer
  • Please please help help me please please help helps me please ASAP ASAP please ASAP thank you!!
    15·2 answers
  • May someone please help me find three ordered pairs so I can graph on the coordinate plane please you get five stars and things
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!