1.)irvin cut a 47 in. wire into two pieces. the longer piece is 13 in. longer than the shorter piece. what is the length of the longer piece?
2.) maggie has only dimes and quarters in her purse. she has 27 coins with a total value of $4.05 in her purse. how many dimes does maggie have in her purse?
asap!

So 1.
irvin cutst 47 nto 2 pieces
47=x+y
x is 13 longer than y
x=13+y
subsitute
47=13+y+y
add like terms
47=13+2y
subtract 13
34=2y
divide by 2
17=y
subsitute
x=13+y
x=13+17
x=30
the longer peiece is 30 inches

2.
dime value=0.1 times d
quarters value=0.25 times q
q=number of quarters
d=number of dimes

d+q=27
0.1d+0.25q=4.05
solve
d+q=27
subtract q
d=27-q
subsitute
0.1(27-q)+0.25q=4.05
distribute
2.7-0.1q+0.25q=4.05
add like terms
2.7+0.15q=4.05
subtract 2.7 from both sides
0.15q=1.35
divide both sides by 0.15
q=9
subsitute
d+q=27
d+9=27
subtract 9 from boths ides
d=18

18 dimes

1. 17 in
2. 18 dimes

108