Please find the least common multiple for each set of numbers: 7,8,10 2,5,6 3,4,7
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Beth has $0.60 more than Suzy. Together they have $8.20. How much money does each girl have?
Thank you very much
there r 2 girls n one girl has $.60 more then the other and together they total $8.20. so u set up an equation
2x+.60=$8.20. u first subtract 60 cent from both sides n that leave u with 2x=$7.60. now u divide both sides by 2 to get how much each girl has n x= $3.80. n finally u add 60 cents to Beth's 3.80 n that gives u $4.40 for beth n $3.80 for suzy.
Are your sets?
7, 8, 10
2, 5, 6
3, 4, 7
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Let x = the money that Suzy has
x + x + 0.60 = 8.20
2x + 0.60 = 8.20
2x = 7.60
x = #3.80
This is just confusing a fifth grader. Do the easy way Jenny.
2 girls both together have $8.20.
Devide 8.20 by 2.
8.20/2= 4.10 one girl has .60 more than the other.
4.10-.30=3.80
one girl has $3.80 the other has $4.40.
$3.80+$4.40=$8.20
$8.80 you add
To find the least common multiple (LCM) for a set of numbers, you can use the fact that LCM(a, b, c) = LCM(LCM(a, b), c). So, we can find the LCM for each set of numbers in two steps: finding the LCM of the first two numbers and then finding the LCM of the result and the third number.
1) For the first set of numbers, 7, 8, and 10:
- Find the LCM of 7 and 8. The factors of 7 are 1 and 7, and the factors of 8 are 1, 2, 4, and 8. The least common multiple of 7 and 8 is 56.
- Next, find the LCM of 56 and 10. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56, and the factors of 10 are 1, 2, 5, and 10. The least common multiple of 56 and 10 is 280.
So, the least common multiple for the numbers 7, 8, and 10 is 280.
2) For the second set of numbers, 2, 5, and 6:
- Find the LCM of 2 and 5. The factors of 2 are 1 and 2, and the factors of 5 are 1 and 5. The least common multiple of 2 and 5 is 10.
- Next, find the LCM of 10 and 6. The factors of 10 are 1, 2, 5, and 10, and the factors of 6 are 1, 2, 3, and 6. The least common multiple of 10 and 6 is 30.
So, the least common multiple for the numbers 2, 5, and 6 is 30.
3) For the third set of numbers, 3, 4, and 7:
- Find the LCM of 3 and 4. The factors of 3 are 1 and 3, and the factors of 4 are 1, 2, and 4. The least common multiple of 3 and 4 is 12.
- Next, find the LCM of 12 and 7. The factors of 12 are 1, 2, 3, 4, 6, and 12, and the factors of 7 are 1 and 7. The least common multiple of 12 and 7 is 84.
So, the least common multiple for the numbers 3, 4, and 7 is 84.
Now, let's move on to the second question:
Beth has $0.60 more than Suzy, and together they have $8.20.
Let's assume Suzy has x dollars. Then Beth has x + $0.60.
Given that they have a combined total of $8.20, we can set up the following equation:
x + (x + $0.60) = $8.20
Simplifying the equation:
2x + $0.60 = $8.20
Subtracting $0.60 from both sides:
2x = $7.60
Dividing both sides by 2:
x = $3.80
So, Suzy has $3.80.
To find out how much money Beth has, we can substitute this value back into our initial assumption:
Beth has x + $0.60 = $3.80 + $0.60 = $4.40
Therefore, Beth has $4.40.
Beth has $4.40 and Suzy has $3.80.
I hope this explanation helps! Let me know if you have any further questions.