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
Alexus [3.1K]
3 years ago
9

Period 5 is gearing up for a class ice cream party. Meghan plans to arrange the party and understands that ice cream cones cost

$1.10 and sundaes cost $2.35. On the day of the party the receipt shows a total of 172 cones and sundaes were $294.20. How many cones were sold?
Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0

Answer: 88 cones.

Step-by-step explanation:

We know that:

price of a cone = $1.10

price of a sundae = $2.35

A total of 172 cones and sundaes were sold for $294.20

Then we can define two variables:

C = number of cones sold

S = number of sundaes sold.

C + S = 172 (the total number of sundaes and cones sold is 172)

C*$1.10 + S*$2.35 = $294.20  (that is how much the won).

Then we have the system of equations:

C + S = 172

C*$1.10 + S*$2.35 = $294.20

And we want to find how many cones were sold.

To solve this, we first need to isolate the other variable, S, in one of the equations, i will isolate S in the first equation:

S = 172 - C

Now, let's replace this in the second equation:

C*$1.10 + (172 - C)*$2.35 = $294.20

Now we can solve this for C, and find the number of cones that were sold.

C*$1.10 + $404.20 - C*$2.35 = $294.20

C*($1.10 - $2.35) = $294.20 - $404.20

-C*1.25 = -110

C = 110/1.25 = 88

88 cones were sold.

You might be interested in
Is the answer one solution, infinite solutions or no solution ?
ch4aika [34]

Answer:

Step-by-step explanation:

its infinite solution

hope i was helpful

5 0
3 years ago
Read 2 more answers
A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 degrees with the ground distant
Inessa05 [86]
To get the distance of the balloon from the the bottom to the ground we apply the following trigonometric formula:
sin θ=opposite/hypotenuse
θ=35°
opposite=height,h
hypotenuse=75ft
Thus plugging our values in the formula we obtain:
sin 35=h/75
solving for h we get
h=75sin 35
h=43.02~43 ft
7 0
3 years ago
(please help!) <br> What is the length of AD?<br><br> AD=__
Elenna [48]
ejeiieieieieieieiejsjsjsksjsjend
4 0
3 years ago
150 students in hostel have food enough for 45 days. After 10 days , 25 students leave the hostel. How much larger will the food
Naddik [55]

Step-by-step explanation:

150=45

150 -25=x

:150=45

125=x

cross multiply

150x/150=5625/150

x=38 days

8 0
3 years ago
Last month, Korey’s Comics had a gross profit of $2,385 with a monthly revenue of $3,465. Korey expects similar sales this month
Readme [11.4K]
The answer to the question above is "a. This transaction will decrease Korey’s gross monthly profit by $625" based on Korey's financial situation above. Korey has purchased the $625 assortment of comic however he will not receive his new additional comics until last month. This transaction will increase his cost of good sold and decrease his gross profit.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve
    10·2 answers
  • What is 0.05 as a fraction
    15·2 answers
  • Wayne runs an ice cream shop. He surveyed some adults and children, asking them which flavor they liked best. This table shows t
    13·1 answer
  • Point P is in the interior of ∠OZQ. If m∠OZQ = 125° and m∠OZP = 62°, what is m∠PZQ?
    8·2 answers
  • Help please I need to pass this class help appreciated
    10·2 answers
  • Please help meeeee
    11·1 answer
  • Simplify the expression $17x-24x+13x$. Your answer should have the variable $x$ in it only once.
    15·1 answer
  • I don't understand this. Plz help!!!
    13·2 answers
  • Plizzz answer asap!!!​
    5·1 answer
  • Given cosine of x is equal to negative square root of 3 over 2 comma what is the value of cos(x π)?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!