1) Five times the first of three consecutive even integers is fourteen more than three times the second. What is the third consecutive integer?
2) Martha and Sally had lunch together on Tuesday. Sally paid $2 more than Martha. If the total bill was $5.64. How much did Sally pay for her lunch?
2007-12-30 07:21:37 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
If your not going to help please just don't answer to be mean. If you don't have anthing nice to say than don't say it at all. :)
2007-12-30 07:27:42 · update #1
Hi,
1) Five times the first of three consecutive even integers is fourteen more than three times the second. What is the third consecutive integer?
5x = 14 + 3(x+ 2)
5x = 14 + 3x + 6
2x = 20
x = 10 as the first even integer
12 would be 2nd so 14 is the third consecutive even integer.
2) Martha and Sally had lunch together on Tuesday. Sally paid $2 more than Martha. If the total bill was $5.64. How much did Sally pay for her lunch?
x+ 2 + x = 5.64
2x = 3.64
x = 1.82
Sally paid $3.82
2007-12-30 07:29:51 · answer #1 · answered by Pi R Squared 7 · 1⤊ 0⤋
1) let the three consecutive even integers be: 2x, 2x+2, 2x+4
Then set-up your equation as:
5(2x) = 3(2x+2)+14
=> 10x = 6x + 20
=> 4x = 20
=> x = 5
Your third integer is 2x+4, plug in x, and you get 14 :)
***
Steve A expressed the integers as x, x+2, x+4. This is wrong because these integers can be odd, say when you substitute 1, you get 1, 3, 5. You should make it 2x to ensure that it's even. I checked my answer and it's correct :)
2) S = M+2
S+M is the total bill which is 5.64
Express this as M+2+M = 5.64
=> 2M = 3.64
=> M = 1.82
S = M+2 = 3.82
Sally paid $3.82
2007-12-30 07:29:13 · answer #2 · answered by Anonymous · 1⤊ 1⤋
the consecutive even integers can be shown as x, x+2 and x+4
5*x = 14 + 3(x+2)
5x = 14 + 3x + 6
2x = 20
x = 10
so the three consecutive even intergers are 10, 12, 14
check
5*10 = 14 + 3*12 = 14 + 36 = 50
checks
Martha = m
Sally = s
m + s = 5.64
s = m + 2
m + (m + 2) = 5.64
2m = 3.64
m = 1.82
s = 2 + 1.82 = $3.82
2007-12-30 07:28:30 · answer #3 · answered by Steve A 7 · 1⤊ 0⤋
x = 1st integer
x+2 = 2nd integer
5x = 3(x+2)+14
5x = 3x+6+14
2x= 20
x = 10
x+4 = 14 = 3rd integer
x = Martha's payment
x+2 = Sally's payment
2x+2 = 5.64
2x = 3.64
x = 1.82
x+2 = $3.82 = Sally's payment
2007-12-30 07:31:48 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋
1) x(x+2+x+4+x+6) = 3(x+4) +14
Thats my equation, don't completely trust me though, i think its wrong!
2) x + 200 + x = 564
2x = 364
x = 364/2
This one is right for sure =P
2007-12-30 07:27:34 · answer #5 · answered by Abagahahahhahahah 3 · 0⤊ 2⤋
1) 24
2) $3.58
2007-12-30 07:27:03 · answer #6 · answered by yodellingbear 3 · 0⤊ 3⤋
What grade are you in?
I'm in 7th grade and I don't know this stuff.
??????????????????
2007-12-30 07:26:47 · answer #7 · answered by Sarai A 2 · 0⤊ 1⤋