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Aleksandr-060686 [28]

3 years ago

15

A jar contains n nickels and d dimes. There is a total of 253 coins in the jar. The value of the coins is $15.95. How many nicke

ls and how many dimes are in the jar?

1 answer:

defon3 years ago

5 0

There are 187 nickels and 66 dimes in the jar.

Step-by-step explanation:

Given,

Total coins = 253

Value of coins = $15.95 = 15.95*100 = 1595 cents

Value of each nickel = 5 cents

Value of each dime = 10 cents

According to given statement;

x+y=253 Eqn 1

5x+10y=1595 Eqn 2

Multiplying Eqn 1 by 5

$5(x+y=253)\\5x+5y=1265\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(5x+10y)-(5x+5y)=1595-1265\\5x+10y-5x-5y=330\\5y=330$

Dividing both sides by 5

$\frac{5y}{5}=\frac{330}{5}\\y=66$

Putting y=66 in Eqn 1

$x+66=253\\x=253-66\\x=187$

There are 187 nickels and 66 dimes in the jar.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

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The three sides of a triangle are n, 3n+3, and 2n+11. If the perimeter of the triangle is 50 inches, what is the length of each

mylen [45]

Answer:

6, 21, and 23 inches

Step-by-step explanation:

The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.

This means that we can algebraically solve the equation $n + 3n + 3 + 2n + 11 = 50$

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Have a lovely rest of your day/night, and good luck with your assignments! ♡

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2 years ago

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Step-by-step explanation:

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3 years ago

Margaret’s bottle of shampoo is 7/8 full. She uses 1/3 of the shampoo in the bottle to wash the dog. Estimate what fraction of s

AleksandrR [38]

Fraction of shampoo left = $\frac{13}{24}$

Solution:

Given fraction of full shampoo $=\frac{7}{8}$ .

Fraction of shampoo Margaret used $=\frac{1}{3}$

Fraction of shampoo left = Full shampoo – fraction of shampoo used

$=\frac{7}{8}-\frac{1}{3}$

To make the denominators same do cross multiplication.

$=\frac{7\times3}{8\times3}-\frac{1\times8}{3\times8}$

$=\frac{21}{24}-\frac{8}{24}$

$=\frac{21-8}{24}$

$=\frac{13}{24}$

Hence $\frac{13}{24}$ of the shampoo bottle is left.

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3 years ago