Question

Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the number of nickels in the collection?

ANSWER- 0.1(175-n)+0.05n=13.30

Answer 1

n+d=175, so d=175-n

0.05n+0.1d=13.30 now using d found above in this equation yields:

0.05n+0.1(175-n)=13.30

...

1.5(4-g)+1g=5.5

6-1.5g+g=5.5

6-0.5g=5.5

-0.5g=-0.5

g=1

5.5/4=1.375

So your grid should be:

3oz 1.50 4.50

1oz 1.00 1.00

4oz 1.375 5.50

Answer 2

The equation we can use is 0.1(175-n)+0.05 n=13.30

Explanation:

Number of Dimes= d

Number of Nickels= n

n+d=175, so d=175-n

The value of the dime is $0.10 and the value of each nickel is $0.05 and the whole collection is worth $13.30, so

0.1 d+0.05 n=13.30

Replacing

0.1(175-n)+0.05 n=13.30 this is the equation we have to use to get the number of nickels.