1. Let the shorter piece be x in. long
the longer piece will be x + 13 in. long
and the two pieces add up to be 47 in., so
x + ( x + 13 ) = 47
2x = 47 - 13
2x = 34
x = 17
the longer piece is x + 13 in. long,, or 17 + 13 = 30 in. long
2. number of dimes: x
number of quarters: y
x + y = 27....(1)
10x + 25y = 405...(2)
(1)*10: 10x + 10y = 270....(3)
(2) - (3):15y = 135
y = 9
plug y = 9 into (1), you will find that x = 18
so 18 dimes, 9 quarters
Answer:
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Answer: m = 3
Step-by-step explanation:
We can distribute both sides.
3*m + 3*7 = 6*m + 6*2
3m + 21 = 6m + 12
We can now combine like terms.
3m = 9
m = 3
