Solve for x and y. | Mathematics | Page 1

quiet grail Feb 12, 2023, 10:26 PM

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The wotd problem:

A collection of dimes and nickels is worth $3.30. If there are 42 coins in all, how many of each kind of coin are there?

X should represent dimes.
Y should represent nickels.

What I'm having trouble with:

I'm not sure how to go about solving this problem.

What I know:

X + y = 3.30
X = 42 - y

Please help.

knotty sirenBOT Feb 12, 2023, 10:26 PM

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quiet grail Feb 12, 2023, 10:28 PM

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I made a typo. I meant to say "word problem" instead of "wotd problem."

slate peak Feb 12, 2023, 10:38 PM

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were using x and y to represent the coins themselves, not their value.
thus, x+y=42
if we want the value of them we just multiply x by the value of a dime and y by the value of a nickel
giving us .10x+.05y=3.30
now its as simple as solving for x and y.

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does that make sense?

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@quiet grail

quiet grail Feb 12, 2023, 10:43 PM

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So in order to find the number of coins, I would have to multiply them by their value first before solving for x and y?

slate peak Feb 12, 2023, 10:44 PM

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i already gave you the 2 equations youll need to solve for x and y

quiet grail Feb 12, 2023, 10:44 PM

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Ok. Thanks for helping me.

slate peak Feb 12, 2023, 10:44 PM

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np, check back with me so i can see of ur answer is correct 🙂

quiet grail Feb 12, 2023, 10:56 PM

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Ok. I got x = 24 and y = 18.

#Solve for x and y.