June has $1.95 in dimes and nickels. She has a total of 28 coins. How many of each type of coin does she have?

1 answer:

3 0

Answer:

She has 11 dimes and 17 nickels

Step-by-step explanation:

dimes --- d

nickels -- n

Equation with number of coins: $
n+d = 28
n = 28-d$

$10d + 5n = 195
$

Divide by 5

$2d + n = 39$

sub in the other equation:

$2d + 28-d = 39
d = 11
n = 28-11 = 17
$
She has 11 dimes and 17 nickels

check:

total = 11 + 17 = 28 , check!

value: 10(11) = 5(17) = 195 , check!

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