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