This problem is simply asking us to add the weights which are presented as fractions. You can easily get the answer if you input them directly in a calculator. But I think the challenge here is to manually add fractions.
Let's add the two 1/4 lb weights because it is easier for they have a common denominator. Just simply add the numerators.
1/4 + 1/4 = 2/4
Then, add with this the fraction part of 2 1/5.
2/4 + 1/5 = ?
The least common denominator is 4*5 = 20. Then divide 20 with each denominator and multiply to their respective numerator.
2/4 + 1/5 = [(20/4 * 2) + (20/5 *1)]/20 = 14/20
14/20 is simplified to 7/10. Then add the whole number 2. <em>Therefore, the sum of all weights is 2 7/10 pounds.</em>
3 (m - 2) = 2 (3m + 3) Use the Distributive Property on both sides
3m - 6 = 6m + 6 Subtract 6m from both sides
-3m - 6 = 6 Add 6 to both sides
-3m = 12 Divide both sides by -3
m = -4
Answer: C. Rickys rate was 0.25 more per hour" .
Step-by-step explanation:
Susan received $27 for 6 hours of work. Susan's rate we hour will be:
= $27/6
= $4.5
Ricky received $14.25 for 3 hours of work. Ricky's rate will be:
= $14.25/3
= $4.75
From the option given, the correct option is C "Rickys rate was 0.25 more per hour" .
This is because $4.75 - $4.5 = $0.25