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Mathematics 16 Online
OpenStudy (anonymous):

You have $7.25 in pennies and dimes. The number of dimes is 4 less than five times the number of pennies.

OpenStudy (anonymous):

d=5p-4, i think is the equation to get the number dimes. So then you would take the number of dimes and add pennies to it until you get $7.25.

OpenStudy (anonymous):

can you explain more in to detail? I'm still not understanding it.

OpenStudy (anonymous):

Wait, I think I did it wrong. Idk, sorry

OpenStudy (pfenn1):

Say p=number of pennies and d=number of dimes. You know that the number of dimes and pennies add up to $7.25. Pennies are worth $0.01 and dimes are worth $0.10. So we know that\[0.01p+0.10d=7.25\]Do you understand that part?

OpenStudy (anonymous):

yes i understand that part

OpenStudy (pfenn1):

The trick with "word" problems is that you have to learn to translate the "words" into mathematical equations. For instance, The number of dimes is 4 less than five times the number of pennies. d = -4 5 x p

OpenStudy (pfenn1):

So this is exactly how @crazycookiecat came up the equation above. So now you have two equation and two unknowns. \[0.01p+0.10d=7.25\]\[d=5p-4\]Substitute and solve.

OpenStudy (anonymous):

Thank you :)

OpenStudy (pfenn1):

You're welcome

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