Question

Mia deposits either $5 or $3.50 into her savings account. She made 14 deposits equaling a total of $59.50.

How many times did she deposit $5 and how many times did she deposit $3.50?

Mia made deposits of $5 and deposits of $3.50.

Answer 1

@AriPotta

Answer 2

are you still there?

Answer 3

yes

Answer 4

give me a few min

Answer 5

ok

Answer 6

ok i got it, let me explain

Answer 7

ok

Answer 8

let x represent the amount of deposits worth 5 dollars
let y represent the amount of deposits worth $3.50
make a system

x+y=14<<all the deposits there are

5x+3.50y=59.50

multiply x+y=14 by -5, so you can solve for a variable

you get

5x+3.50y=59.50
-5x-5y=-70

you add that up, and you get -1.50y=-10.50

find y by dividing it by -1.50

you get y=7

if y=7 and 14-7=7 meaning x also equals 7.

this is right as 5 times 7= 35

3.50 times 7=24.5

35+24.5=59.50

>>>> seven $5 dollar deposits
>>>> seven $3.50 deposits

Answer 9

thank you. word problems are very tricky