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3 years ago

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Sally gave her brother $3.95 in quarters and dimes. if the number of quarters is 6 more than the number of dimes, how many quart

ers did sally give her brother? sally gave her brother quarters. nextreset

2 answers:

WARRIOR [948]3 years ago

7 0

13 quarters
q=6+d
25q+10d=395
solve for q and get 13

zheka24 [161]3 years ago

6 0

Answer:

13 quarters.

Step-by-step explanation:

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

We have been given that the number of quarters is 6 more than the number of dimes. We can represent this information in an equation as:

$q=d+6...(1)$

We know that value of one dime is $0.10, so value of d dimes would be $0.10d$ .

We know that value of one quarter is $0.25, so value of q quarters would be $0.25q$ .

We have been given that Sally gave her brother $3.95 in quarters and dimes. We can represent this information in an equation as:

$0.10d+0.25q=3.95...(2)$

Now, we have a system of linear equation and we will solve our system by substitution method.

From equation (1), we will get:

$q-6=d$

Upon substituting this value in equation (2), we will get:

$0.10(q-6)+0.25q=3.95$

$0.10q-0.60+0.25q=3.95$

$0.35q-0.60=3.95$

$0.35q-0.60+0.60=3.95+0.60$

$0.35q=4.55$

$\frac{0.35q}{0.35}=\frac{4.55}{0.35}$

$q=13$

Therefore, Sally gave her brother 13 quarters.

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3 years ago

Is 15b+4=25.6 equivalent to 0.6+15b+4=25.6

pychu [463]

No because
15b + 4 = 25.6
15b = 21.6
b = 1.44

0.6+15b+4 = 25.6
4.6 + 15b = 25.6
15b = 21
b = 1.4

The answers are not the same therefore they are not equivalent.

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3 years ago