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
Viktor [21]
3 years ago
10

Standardized Test Practice

Mathematics
2 answers:
ElenaW [278]3 years ago
7 0

Hello!

First, set some variables. Say c = # of pounds of cashews, and a = # of pounds of almonds. With these variables, you can set up a system of equations. The two equations we will be using is how much she paid, and how many pounds she bought.

How much she paid: 8c + 6a = 48

This one can be explained by c being the number of pounds of cashews, therefore multiplying it by 8 would be the amount she paid for Cashews, and the same for the almonds.

How many pounds she bought: c + a = 7

This one is fairly simple. She bought 7 pounds total, and then c + a should therefore equal the total number of pounds she bought, so c + a = 7.

Now, set up the system.

\left \{ {{8c + 6a = 48} \atop {c + a = 7}} \right.

I'm going to be using the method of substitution. That's where you solve for one of the variables in one of the equations, and then substitute that into the other equation.

\left \{ {{8c + 6a = 48} \atop {c + a = 7}} \right.

\left \{ {{8c + 6a = 48} \atop {c = 7 - a}} \right.

Now, since you know c = 7 - a, you can substitute 7 - a in the other equation in for c.

\left \{ {{8c + 6a = 48} \atop {c = 7 - a}} \right.

8 (7 - a) + 6a = 48

And now solve.

8 (7 - a) + 6a = 48

56 - 8a + 6a = 48

-2a = -8

a = 4

To get the other variable, substitute a = 4 into one of the original equations.

c + a = 7

c + 4 = 7

c = 3

Therefore, a = 4 and c = 3. This means that Lenora purchased 4 pounds of almonds and 3 pounds of cashews.

Hope this helped!

Ulleksa [173]3 years ago
6 0

Answer:

8x+6y=48

x+y=7

multiply bottom equation by 6:

8x+6y=48

6x+6y=42

subtract equations:

2x=6

divide 6 by 2:

x=3

therefore:

y=4

You might be interested in
Can CD Ray also be called dc
julia-pushkina [17]
No it cannot be.........
6 0
3 years ago
PLZS HELP NEED BY TODAY!!
Alex73 [517]
X=20. Because that line is 180 and u subtract 40 and u do 140/7= 20
3 0
3 years ago
Read 2 more answers
OMGGG I NEED HELPP ITS DUE IN 10 MIN
makkiz [27]

Answer:

300

Step-by-step explanation:

5x60

4 0
3 years ago
Read 2 more answers
*PLEASE ANSWER!! HURRY PLS*
atroni [7]
The answer to the question is c
5 0
3 years ago
Read 2 more answers
HELP ME PLEASE WITH A P E X
Alex

Answer: 2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • In a circle with a radius of 2.8 cm, an arc is intercepted by a central angle of π 5 radians. What is the arc length? Use 3.14 f
    11·1 answer
  • The number of water bottles used during a teams football practice varies directly with the temperature. If a team uses 75 water
    5·1 answer
  • Find the product. y 4 · y 5
    8·2 answers
  • Evaluate the expression:
    7·2 answers
  • 6 + p <4 solve and graph
    15·2 answers
  • A cab company charges $4 per cab ride, plus an additional $3 per mile driven. How long is a cab ride that costs $22?​
    5·1 answer
  • Which distance measures 7 units?
    15·1 answer
  • lara has 268 colored beads. kira has 100 more beads than lara. blair has 10 fewer beads than kira. how many beads does kira have
    15·1 answer
  • Please help I'm so close to being done and I don't know how to do this!!! Pls give answer but show how to do it!!!
    13·1 answer
  • Which of the following best describes the pattern in the diagram shown
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!