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
vovangra [49]
3 years ago
6

At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah

wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use?
Thanks! :)
Mathematics
2 answers:
Shkiper50 [21]3 years ago
6 0

Answer:

10 pounds of both raisins and peanuts.

Step-by-step explanation:

insens350 [35]3 years ago
5 0

Answer:

10 pounds of raisins and 10 pounds of peanuts.

Step-by-step explanation:

Let c represent the pounds of chocolate covered raisins.

Let p represent the pounds of peanuts.

We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.

Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:

1.5c+1.2p

This represents the cost given c pounds of raisins and p pounds of peanuts.

Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:

1.5c+1.2p=1.35(c+p)

We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:

c+p=20

We now have the system of equations:

\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}

First, since we know that c+p is 20, we can substitute that into the first equation.

Second, let's subtract p from both side for the second equation to isolate a variable. So:

c=20-p

Let's now substitute this into the first equation:

1.5(20-p)+1.2p=1.35(20)

Distribute:

30-1.5p+1.2p=27

Combine like terms:

-0.3p+30=27

Subtract 30 from both sides:

-0.3p=-3

Divide both sides by -0.3. So, the amount of peanuts needed is:

p=10

10 pounds of peanuts is needed.

This means that 20-10 or 10 pounds of raisins is needed.

You might be interested in
5 less the quotient of 14 times a number x and 9
AURORKA [14]

Answer:

\frac{14x}{9}-5

Step-by-step explanation:

14 times a number x :  14* x = 14x

Quotient of 14 times a number x  an 9 :   \frac{14x}{9}

5 less the quotient of 14 times a number x and 9 :

\frac{14x}{9}-5

7 0
2 years ago
Point A is located at (3,4) and is rotated 90 degrees counterclockwise about the origin. What is the new point of A?
sineoko [7]

A'(- 4, 3 )

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

A(3, 4 ) → A'(- 4, 3 )


5 0
3 years ago
A ball is dropped from a height of 10 feet. The ball bounces to 90% of its previous height with each bounce. Identify the geomet
Salsk061 [2.6K]
The geometric sequence that shows the height of the fourth bounce in bold is B) 9, 8.1, 7.3, 6.6,...
5 0
3 years ago
Read 2 more answers
7,000,000 + 600,000 + 70,000 + 2,000 + 500 + 30 + 1 in standard form?
nlexa [21]
7,672,531 is the answer
4 0
3 years ago
Read 2 more answers
It’s asking to write an equation of the line with a slope...please help!!
Vlada [557]

Answer:

y = -3/4x - 6

Step-by-step explanation:

Use y-intercept (0, -6) and slope -3/4 and put into y=mx+b form to solve for b

Remember that m is also known as slope!

-6=(-3/4 * 0) + b

b= -6

y= -3/4x - 6

4 0
3 years ago
Other questions:
  • Write each expression as the product of two factors   1x3+7x3=
    5·2 answers
  • Baily is training to run a marathon. The number of minutes it takes to run the marathon after t weeks of training is M= 300(0.95
    9·1 answer
  • The coordinates are 5 -2 3-1 -4 4 -3 8 -14 find the shape with out plotting
    8·1 answer
  • How many times larger is 2 x 1012 than 5 x 106?
    11·1 answer
  • find the distance between franklin and fairview if they are 0.8 in apart on a map with a scale of 1 in: 18.3 mi
    11·1 answer
  • Need help? Sorry if u see my work that I erased
    9·2 answers
  • It costs Beverly $0.50 to produce each bracelet she makes. She sells each bracelet for $20, plus three times the production cost
    15·1 answer
  • A zoo contains lions and tigers in the ratio 2:3. How many cats does the zoo contain in total if there are actually 12 tigers? S
    9·1 answer
  • What is one sixth of 2.00
    13·1 answer
  • . f(x) = Square root of quantity x plus eight. ; g(x) = 8x - 12 Find f(g(x)). (1 point) f(g(x)) = 2 Square root of quantity two
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!