Question 160966
OK, we'll let x=number of dimes
Then x=number of pennies, also
And 2x=number of quarters
And 4*2x=8x=number of nickels
Now we can set up our equation (or inequality) to solve:
(Lets deal in pennies to get rid of the decimals)
150<(x+10x+5*8x+25*2x)<225 simplifying
150<(x+10x+40x+50x)<225 collecting like terms, we have:
150<(101x)<225  divide each term by 101
1.48<(x)<2.23  since we cannot have a fraction of a coin, x has no choice but to be 2
For x=2, we have
2 pennies 2*1=2
2 dimes 2*10=20
4 quarters 4*25=100
16 nickels 16*5=80
TOTAL-------202 or $2.02 cents

And this satisfies the inequality

Hope this helps---ptaylor