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
castortr0y [4]
3 years ago
7

Two friends visited a taffy shop. Rachel bought 4 pounds of strawberry taffy and 6 pounds of banana taffy for $44. Next, Pablo b

ought 2 pounds of strawberry taffy and 5 pounds of banana taffy for $30. How much does the candy cost?
Mathematics
2 answers:
iris [78.8K]3 years ago
3 0

Answer:

The cost of the candy is

$5 for strawberry taffy and

$4 for banana taffy

Step-by-step explanation:

Here we have

Let the strawberry taffy  be = S and

the banana taffy = B

The system of equation becomes

4·S + 6·B = $44......................(1)

2·S + 5·B =$30.......................(2)

To solve the equations, we multiply equation (2) by 2 to get

2×(2·S + 5·B) =$30. × 2

4·S +10·B = $60.......................(3)

We subtract equation (1) from equation (3) to get

(4·S +10·B)-(4·S + 6·B) = $60 - $44

4·B = $16 or B = $16/4 = $4

Therefore, from equation (2) we have

2·S + 5×$4 =$30 or

2·S = $30 - $20 = $10

S = $10/2 = $5

The candy costs

Strawberry taffy = $5 and

Banana taffy = $4

Mice21 [21]3 years ago
3 0

Answer:

Each pound of strawberry taffy and banana taffy costs $5 and $4 respectively

Step-by-step explanation:

Lets assume the price of one pound of strawberry taffy to be x

And

The price of one pound of banana taffy to be y

If 4 pounds of strawberry taffy and 6 pounds of banana taffy costs $44

And

2 pounds of strawberry taffy and 5 pounds of banana taffy costs $30.

The above will lead to a simultaneous equation that looks like this

4x + 6y = 44

From the first equation, we can divide through by 2 and we get

2x + 3y = 22_______equation 1

2x + 5y = 30_______ equation 2

From equation 1,we make x the subject of the formula and we get

X = (22 - 3y)/2

Apply the above in equation 2 and we have

2[(22 - 3y)/2] + 5y = 30

We expand the above equation

(44 - 6y)/2 + 5y = 30

(44 - 6y + 10y)/2 = 30

44 - 6y + 10y = 60

4y = 16

Y= $4(price of a pound of banana taffy)

Now substitute y = 4 in equation 1 and we have

2x + 3(4) = 22

2x + 12 = 22

X = 10/2

X = $5(price of each pound of strawberry taffy)

You might be interested in
The Nike store is having a SALE!!! A toddler suit with an original cost of $54 is marked down to $22.95. How much is the discoun
pishuonlain [190]

Answer:

The Discount Percent is 57.50% and the Discount Amount is $31.05

Step-by-step explanation:

To find the discount percent you use the formula D = (L - S) / L x 100. To find the discount amount you take the <u>inital list price</u> and subtract it from the <u>sale price</u>.

4 0
3 years ago
Express 3080 as a product of prime factors
n200080 [17]
Prime Factors of 3080 =2, 2, 2, 5, 7, 11

Which is the same as = 23 x 5 x 7 x 11

Prime Factors Tree of 3080

3080
/ \
2 1540
/ \
2 770
/ \
2 385
/ \
5 77
/ \
7 11
/ \
11 1
4 0
3 years ago
I need help with this one
OlgaM077 [116]

Answer:

112.98 square units

Step-by-step explanation:

Let's work backwards:

Circumference = 2πr

(37.68)/2π = r

Area = πr^{2}

Area = π * ((37.68)/2pi)^{2}

Area = 112.983 square units

3 0
3 years ago
Read 2 more answers
How do I solve this
sdas [7]
\bf \textit{difference of squares}&#10;\\ \quad \\&#10;(a-b)(a+b) = a^2-b^2\qquad \qquad &#10;a^2-b^2 = (a-b)(a+b)\\\\&#10;-------------------------------\\\\&#10;\cfrac{2x}{x^2+2x-24}-\cfrac{x}{x^2-36}\quad &#10;\begin{cases}&#10;x^2+2x-24\implies (x+6)(x-4)\\&#10;--------------\\&#10;x^2-36\implies x^2-6^2\\&#10;(x-6)(x+6)&#10;\end{cases}

\bf \cfrac{2x}{(x+6)(x-4)}-\cfrac{x}{(x-6)(x+6)}\impliedby &#10;\begin{array}{llll}&#10;\textit{thus our LCD is}\\&#10;(x-6)(x+6)(x-4)&#10;\end{array}&#10;\\\\\\&#10;\cfrac{[(x-6)2x]~-~[(x-4)x]}{(x-6)(x+6)(x-4)}\implies \cfrac{2x^2-12x-x^2+4x}{(x-6)(x+6)(x-4)}&#10;\\\\\\&#10;\cfrac{x^2-8x}{(x-6)(x+6)(x-4)}
3 0
3 years ago
At the beginning of the day, stock XYZ opened at $3.15. At the end of the day, it closed at $2.87. What is the rate of change of
natta225 [31]

Answer:

-8.9%

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of the line parallel to the line 9y + 2x = 54?<br> Select one:
    11·1 answer
  • Least to greatest 2.71,2 3/4,5,5/2
    10·2 answers
  • Solve the expression use order of operations for(24+2)+2
    5·2 answers
  • Packaging milk in cardboard containers is a way to prevent destruction of which vitamin by ultraviolet light?
    14·1 answer
  • What is the area of a square with sides of length 8
    8·1 answer
  • 17 caps cost 43.86. if all caps cost the same,how much does each cap cost
    7·2 answers
  • Plz help me either and questions 1 or 2
    12·1 answer
  • Three friends were running at a track as shown here.there postions on the track after 3 sec are shown who is running the slowest
    13·1 answer
  • Help me i need this question fast
    9·2 answers
  • Select “Rational” or “Irrational” to classify each number.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!