Every evening Jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she had 50 coins, all of them dimes, and quarters. When she added them up, she had a total of $10.25. How many qurarters did jenna have

Question

Every evening Jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she had 50 coins, all of them dimes, and quarters.  When she added them up, she had a total of $10.25.  How many qurarters did jenna have

misty1212 · Answer

HI!!

misty1212 · Answer

we need a variable for say the number of quarters
what do you pick?

xenesis98 · Answer

q

misty1212 · Answer

ok good
then if $q$ is the number of quarters, they will be worth $25q$ cents total right?

xenesis98 · Answer

yea

misty1212 · Answer

and if there are $q$ quarters, since the total is $50$ coins, the number of dimes must be $50-q$

misty1212 · Answer

each dime is 10 cents, so the total amount of money is $$25q+10(50-q)$$

misty1212 · Answer

you are told that the total (in cents) is 1025
solve $$25q+10(50-q)=1025$$ for $q$

misty1212 · Answer

you know how to do that?