All categories

4 years ago

In a child's bank are 11 coins that have a value of S1.85. The coins are either

Mathematics

1 answer:

Karo-lina-s [1.5K]4 years ago

4 0

Answer:

The child has 6 dimes and 5 quarters.

Step-by-step explanation:

Let q and d represent the number of quarters and of dimes respectively.

Then q + d = 11 (Equation A), and ($0.25/quarter)q + ($0.10/dime)d = $1.85 (Equation B).

Multiply the 2nd equation by 100 to remove the decimal fractions:

25q + 10d = 185 (Equation C)

Now multiply the 1st equation by -10 to obtain -10q - 10d = -110 (Equation D), and combine this result with Equation C:

-10q - 10d = -110

25q + 10d = 185

--------------------------

15q = 75, and so q = 75/15 = 5.

According to Equation A, q + d = 11. Replacing q with 5, we get:

5 + d = 11, and so d = 6.

The child has 6 dimes and 5 quarters.

You might be interested in

Can someone help me plssss???

mote1985 [20]

Yes the answer is 10

6 0

4 years ago

7g - 6 = -20 what is the answer

Brut [27]

7g - 6 = -20

Add 6 to both sides

7g = -14

Divide both sides by 7
g = -2

answer: g = -2

7 0

2 years ago

Read 2 more answers

Kate sold a sailboat at a loss of 20%. If the selling price was $64, what was the original cost?

lapo4ka [179]

So she lost 20% of the original selling price.

$64 is 80% of the original price.

64/80=0.8

0.8·100=80 dollars. HOPE THIS HELPS!!!

8 0

3 years ago

Read 2 more answers

What is the sum of the expressions (2/3x −7)+(1/3 x+5)?

Anit [1.1K]

The answer is

Final result :

x - 2
Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :

2
Simplify —
3
Equation at the end of step 3 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :

(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

3x - 6 = 3 • (x - 2)

Final result :

x - 2

100% Verified!

Hope This Helps! :)

6 0

3 years ago

A dealer bought an item for $20, sold it for $24, bought it for $25, and sold it for $28. How much profit did she make?

tatiyna

Her profit was around the amount of $7-$52

6 0

3 years ago