## anonymous 5 years ago A jar of dimes an quarters is worth \$4.55. If there are the same number of dimes as quarters,what is the value of only the dimes?

1. anonymous

ou dumb flutter, figure it out on ur own

2. anonymous

3. anonymous

KEEP TALKIN SMITTY24

4. anonymous

This is an algebra problem. The problem can be expressed as a system of equations. First, assume that we have d dimes and q quarters. Then the total amount of money in the jar is: $0.1\times d + 0.25\times q$ For example, 1 dime and 2 quarters would be $0.1\times1+0.25\times2=0.6$ That is 0.6 dollars, so 60 cents. The second fact we have is that we have the same number of each, so this gives the system of equations: $0.1d +0.25q=4.55$ $d=q$ Since we know d=q, substitute this in to the first equation to get:$0.1q+0.25q=4.55$Now solve for q to get:$0.35q=4.55\rightarrow q=4.55\div0.35=13$ So you have 13 quarters, which means you have 13 dimes. Check your answer by plugging d=13 and q=13 in to the original equation.

5. anonymous

thank u

6. anonymous

no prob!