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4 years ago

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Marcos and 16 coins in nickels and quarters. He has 3 more quarters than nickels. Write the system of equations and solve to fin

d the number of nickels and the number of quarters Marcos has.

1 answer:

OLEGan [10]4 years ago

4 0

There is typo error in the question. The total number of coins will be 15.

Answer:

There are <u>6 nickels and 9 quarters</u>.

Step-by-step explanation:

Let 'n' be number of nickels and 'q' be number of quarters.

Given:

Marcos has 15 coins in total.

Marcos has 3 more quarters than nickels.

So, as per question,

Total coins = Number of nickels + Number of quarters.

Framing in equation form, we get:

$n+q=15$ ------------------ (1)

Now, Marcos has 3 more quarters than nickels. So, framing in equation form, we get:

$q=3+n$ -------------------- (2)

Substitute the value of 'q' from equation (2) to equation (1). This gives,

$n+3+n=15\\2n=15-3\\2n=12\\n=\frac{12}{2}=6$

Therefore, the number of nickels are 6.

Now, number of quarters = 6 + 3 = 9

So, there are 6 nickels and 9 quarters.

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Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. How much money did she save????

andrey2020 [161]

Given:

Normal price of a tv = $200

Coupon = 25% off

To find:

The money saved by Katherine.

Solution:

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.

$Saving=25\%\text{ of }200$

$Saving=\dfrac{25}{100}\times 200$

$Saving=25\times 2$

$Saving=50$

Therefore, the money saved by Katherine is $50.

6 0

3 years ago

Help plz i will give brainliest

WITCHER [35]

The mean will be 17.9

all you have to do is add all of the numbers then divide them by the total amount of numbers

hope this helps

8 0

3 years ago

a lunch stand makes a $.75 profit on each chef's salad and $1.20 profit on each caesar salad. On a typical weekday, it sells bet

tangare [24]

Answer:

<em>50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.</em>

Step-by-step explanation:

Suppose, the number of Chef's salad is $x$ and the number of Caesar salad is $y$

On a typical weekday, it sells between 40 and 60 Chefs salads and between 35 and 50 Caesar salads.

So, the two constraints are: $40\leq x\leq 60$ and $35\leq y\leq 50$

The total number sold has never exceed 100 salads. So, another constraint will be: $x+y\leq 100$

According to the graph of the constraints, the vertices of the common shaded region are: $(40,35), (60,35), (60,40), (50,50)$ and $(40,50)$ <em>(Refer to the attached image for the graph)</em>

The lunch stand makes a $.75 profit on each Chef's salad and $1.20 profit on each Caesar salad. So, the profit function will be: $P=0.75x+1.20y$

For (40, 35) , $P=0.75(40)+1.20(35)=72$

For (60, 35) , $P=0.75(60)+1.20(35)=87$

For (60, 40) , $P=0.75(60)+1.20(40)=93$

For (50, 50) , $P=0.75(50)+1.20(50)=97.5$ <u><em>(Maximum)</em></u>

For (40, 50) , $P=0.75(40)+1.20(50)=90$

Profit will be maximum when $x=50$ and $y=50$

Thus, 50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.

6 0

4 years ago

o-na [289]

By proportion. First write down the given information systematically:

[1000] drops of liquid equals (1 fl. oz.)
(100) drops of liquid equals ? oz

For problems that are directly proportional, we cross multiply the numbers in the bottom left and top right (in parentheses), divide by the number across ( in square brackets) from the unknown, namely:

Answer:
100 drops * 1 fl. oz / (1000 drops) = (100/1000)* 1 fl. oz = 0.1 fl. oz.

4 0

3 years ago

I need you to give me all of the answers on the page (i answered 2 to show how you will be doing it)

Phantasy [73]

Answer:

3. 72= (x)+(x+1)+(x+2) where x= the smallest number

72=3x+3

-3 -3

69=3x

/3 /3

x=23

x+1=24

x+2=25

smallest is 23

4. 48= (x)+(x+2)+(x+4)

48= 3x+6

-6 -6

42=3x

/3 /3

x=14

x+2=16

x+4=18

smallest is 14

5. all erasers were the same cost

25= 4x+5 (x= cost of erasers)

-5 -5

20=4x

/4 /4

x=5

each cost $5

6. b= boxes

22= b/2 +7

-7 -7

15=b/2

multiply both sides by 2 to cancel the denominator

30=b

30 boxes originally

7. 40= total

8= left

2= balls given to each

x=number of friends

40= 2x+8

-8 -8

32=2x

/2 /2

x=16

she has 16 friends

8. 12= left

a= total allowance

12= (a/2) +4

-4 -4

8= a/2

multiply both sides by 2 to cancel the denominator

a= $16

she had an allowance of $16

9. 4 (2) = amount that her four children recieved

10=amount she took for herself

x= original

x= 4(2) + 10

x= 8 +10

x=18

she started with 18 candies

10. a= age

244= 400 - 2a

-400 -400

-156= -2a

/-2 /-2

a= 78

they are 78 years old

11. c= comic books

36= c/2 + 16

-16 -16

20=c/2

multiply both sides by 2 to cancel the denominator

c=40

she started with 40 comic books

12. b= students in buses

472= 9b + 4

-4 -4

468=9b

/9 /9

b= 52

52 students went in each bus

13. h= hats

17= h/2 +5

-5 -5

12=h/2

multiply both sides by 2 to cancel the denominator

h=24

she had 24 hats on monday

14. p= pies the club made

60= (p+4)/5

multiply both sides by 5 to cancel the denominator

300=p+4

-4 -4

p= 296

the club made 296 pies

Step-by-step explanation:

5 0

3 years ago