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
anygoal [31]
3 years ago
9

Monday: 10 apples and 5 bananas cost £4.20 Friday: 8 apples and 10 bananas cost £5.40 Find the cost of each - with an explanatio

n please and thank you so much
Mathematics
1 answer:
motikmotik3 years ago
3 0

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

Let a be apples and b be bananas.

10a+5b=4.2

8a+10b=5.4

Solve for a:

10a+5b=4.2

<em>Subtract 5b from both sides</em>

10a=4.2-5b

<em>Subtract 4.2 from both sides</em>

10a-4.2= -5b

<em>Multiply both sides by -1</em>

-10a+4.2=5b

8a+10b=5.4

<em>Subtract 10b from both sides</em>

8a=5.4-10b

<em>Subtract 5.4 from both sides</em>

8a-5.4= -10b

<em>Multiply both sides by -1</em>

-8a+5.4= 10b

<em>Divide both sides by 2</em>

-4a+2.7=5b

<u>Combine equations:</u>

-4a+2.7= -10a+4.2

<em>Add 10a to both sides</em>

6a+2.7=4.2

<em>Subtract 2.7 from both sides</em>

6a=1.5

<em>Divide both sides by 6</em>

a=0.25

An apple costs £0.25

Solve for b:

10a+5b=4.2

<em>Subtract 10a from both sides</em>

5b= -10a+4.2

<em>Subtract 4.2 from both sides</em>

5b-4.2= -10a

<em>Multiply both sides by -1</em>

-5b+4.2=10a

8a+10b=5.4

<em>Subtract 8a from both sides</em>

10b= -8a+5.4

<em>Subtract 5.4 from both sides</em>

10b-5.4= -8a

<em>Divide both sides by 4</em>

2.5b-1.35= -2a

Multiply both sides by 5

12.5b-6.75= -10a

<em>Multiply both sides by -1</em>

-12.5b+6.75=10a

<u>Combine equations:</u>

-12.5b+6.75= -5b+4.2

<em>Add 12.5b to both sides</em>

6.75=7.5b+4.2

<em>Subtract 4.2 from both sides</em>

2.55=7.5b

7.5b=2.55

<em>Divide both sides by 7.5</em>

b=0.34

A banana costs £0.34

If you would like to check and see if it is true, (I already checked, it is) you can use the formulas I gave at the start of the explanation.

10a+5b=4.2

8a+10b=5.4

a=0.25

b=0.34

You might be interested in
triangle ABC was rotated 90 degrees clockwise. Then it underwent a dialtion centered at the origin with a scale factor of 4 what
scoray [572]

Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

Step-by-step explanation:

Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.

A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

4 0
3 years ago
A jar contains n nickels and d dimes. There are 24 coins in the jar, and the total value of the coins is $1.90. How many nickels
oee [108]

Answer:14 dimes 10 nickels

Step-by-step explanation:

24 coins total

14 X.10 = 1.40

10 x .05 = .50

1.40 + .50 = 1.90

3 0
3 years ago
What is the length of AD if A is located at (-7,0) and D is located at (8,0)?
Kryger [21]

Answer:

15

Step-by-step explanation:

(-7,0) and (8,0) are on the opposite side of origin of x axis

d = 8 - -7 = 15

6 0
3 years ago
A store offers four different brands of a product. It decides to eliminate the brand that is most likely to be returned. The tab
STatiana [176]

Answer: brand C

Step-by-step explanation:

i just took the quiz

6 0
3 years ago
Which simplified fraction is equal to 0.53? 1) 24/45 2) 8/15 3) 48/90 4) 5/9
Shalnov [3]

To express a decimal number (with a finite decimal expression) in a fraction, you work like this: the numerator is the number without decimale separator (you simply pretend it's not there), while the denominator will be 10^n, where n is the number of digits after the decimal separator.

So, in your case, the number without decimal separator is 53, and you have two digits after the decimal separator, so the fraction will be

0.53 = \cfrac{53}{10^2} = \cfrac{53}{100}

which is irreducible.

6 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal lin
    13·1 answer
  • State the restrictions on the range for y=x^4+8x^3+k
    9·1 answer
  • 3, 10, 17, 24. what is the 50th term in the sequence
    11·1 answer
  • How many cups of raisins will Gina need to make 32 servings of trail mix
    10·1 answer
  • 4. Miguel is helping his mom paint his home. He finished 2 rooms in ⅓ of an hour. How many rooms can he paint in 1 hour?
    15·1 answer
  • A tractor trailer is traveling a total of 76miles. When the tractor trailer stops to refuel, it is still 49 miles from its desti
    10·2 answers
  • −r3≤6<br> The solution is
    8·1 answer
  • Need help ............................
    7·1 answer
  • Peter earns $12.40 each week for doing his chores .Ria earns 1.2 times as much money per week as Peter. How much do Ria earn eac
    7·1 answer
  • If the FDIC has an insurance fund of $67. 8 billion and must use 7. 6% of it to cover several failed banks, approximately how mu
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!