Question

Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each does he have . SHow your work

Answer 1

`x-\ nickels\\ y-\ quarters\\\\ 0,05x+0,25y=8,85\\ x+y=49\ \ \ \ x=49-y\\\\\ 0,05(49-y)+0,25y=8,85\\ 2,45-0,05y+0,25y=8,85\\ 0,2y+2,45=8,85\ \ \ | subtract\ 2,45\\0,2y=6,4\ \ \ | divide\ by\ 0,2\\y=32\\\\ x=49-32=17\\\\ He\ had\ 17\ nickels\ and\ 32\ quarters.`