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
Verdich [7]
3 years ago
12

The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than

banana splits and made $156.
How do you solve this problem?
Mathematics
1 answer:
svlad2 [7]3 years ago
4 0

The shop sold 36 sundaes and 28 banana spilts

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

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

<em><u>On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156</u></em>

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

<em><u>Also, given that they made $ 156</u></em>

<em><u>Therefore, we frame a equation as</u></em>:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

a \times 2+b \times 3 = 156

2a + 3b = 156 ---------- eqn 2

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

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

<h3>b = 28</h3>

<em><u>Substitute b = 28 in eqn 1</u></em>

a = 8 + 28

<h3>a = 36</h3>

Thus the shop sold 36 sundaes and 28 banana spilts

You might be interested in
What is the slope of the line y = 3?
bonufazy [111]

Answer:

slope = 0

Step-by-step explanation:

y = 3 is the equation of a horizontal line parallel to the x- axis.

Since it is parallel to the x- axis then slope = 0

5 0
2 years ago
Two increased by the product of a number and 9 is greater than or equal to 25.
Marianna [84]

Answer:

x≥2.56

Step-by-step explanation:

first we can write the inequality

2+9x≥25

we can now solve this with algebra

9x≥23

x≥2.56

3 0
3 years ago
What number am i thinking of?<br> a. 21<br> b. 9<br> c. 69<br> d. 7
icang [17]
Your thinking of the number 69
6 0
3 years ago
PLZZ HELP!
dezoksy [38]
For the first one it’s h=6 and the second one is h=-3
4 0
3 years ago
The class has 14 boys, 12 girls, and one teacher. What is the ratio boys to girls?
Ilya [14]
7:6, unless it wants it simplified to decimals
3 0
3 years ago
Other questions:
  • (04.04)marisa painted one-half of her bedroom in three-fourths of an hour. at this rate, how long would it take her the paint th
    10·2 answers
  • Random digits 0,1,2,3,4,5,6,7,8,9. what is the probability that a multiple of 4 is picked?
    13·1 answer
  • Which angle is an adjacent interior angle to ∠JKM? ∠JKL ∠MKL ∠KLM ∠LMK
    8·2 answers
  • Given f(x) and g(x) = f(k:x), use the graph to determine the value of k.
    7·2 answers
  • 7 divided by 7925 with long division
    13·1 answer
  • I will mark u as the brainiest if u get this correct<br> thx<br> x
    10·2 answers
  • HELP PLZ ALMOST DONE!!!
    15·2 answers
  • Someone plz help but instead of sending a link because I can’t open then can you please just tell me, thanks!
    14·2 answers
  • Please help me<br> Solve for JL
    14·2 answers
  • Earlier in this course, you explored Euclidean geometry, which is the study of flat space. This approach follows the teachings o
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!