I can't figure out my last 3 problems please someone help me... I would really appreciate it if you could explain how to do it
Questions-
In each of the following situations, write the phrase as a mathematical expression. Combine like terms, if possible.
8. Bobby is 5 ½ years younger than his sister, Lucy. Paul, another brother, is 4 5/8 years older than Lucy. Use L for Lucy’s age and represent the sum of their ages.
9. The Logo Bogo Band earned $475 to play at a party. The money was split evenly among the b members of the band. Write the algebraic expression that represents each member’s earnings.
10. There are g players on the Gamecocks soccer team. The team scored a total of 42 goals this season. One of the players, Louis, scored one more goal than the average per player. How many goals did Louis score?
8.
lucy's age --- L
Bobby's age = L - 11/2 or L - 5 1/2 or L - 5.5
Paul's age = L + 37/8 or L + 4 5/8 or L + 4.625
sum of ages = L - 11/2 + L + 37/8
= 3L - 7/8
9 If the band had 5 members, wouldn't you divide 475 by 5
so if the band has b members each share
= 475/b
10.
total is 42 goals for g players
so average per player is 42/g
So number of goals for Louis = 42/g + 1
Thank you! I really appreciate all your help!
Sure, I can help you with those problems and explain how to solve them.
8. To represent the sum of the ages of Bobby, Lucy, and Paul, we need to express their ages in terms of Lucy's age (L).
- Bobby is 5 ½ years younger than Lucy, so his age can be represented as L - 5 ½.
- Paul is 4 5/8 years older than Lucy, so his age can be represented as L + 4 5/8.
To find the sum of their ages, we simply add these expressions together:
Sum = L + (L - 5 ½) + (L + 4 5/8)
Now, if you want to combine like terms, we can simplify the expression. Note that L + L + L is the same as 3L, which means we have 3 "L"s in the expression. Similarly, - 5 ½ + 4 5/8 can be simplified by finding a common denominator (in this case, 8) and adding the fractions.
So, the simplified expression for the sum of their ages is:
Sum = 3L - 1/8
9. The total money earned by the Logo Bogo Band is $475, which is split evenly among the b band members.
To find each member's earnings, we divide the total earnings by the number of band members (b). The algebraic expression for each member's earnings can be written as:
Earnings per member = $475 / b
There are no like terms to combine in this expression, so it remains as $475/b.
10. Let's represent the average number of goals per player as A. We are given that the total goals scored by the team is 42, so we can express it as:
42 = A * g
Now, we know that Louis scored one more goal than the average per player, so his goals can be represented as A + 1. We are asked to find the number of goals Louis scored, so we replace A with A + 1 in the equation:
42 = (A + 1) * g
To find the number of goals Louis scored, we solve this equation for A:
42 = A * g + g
g = 42 - g
g = 42 / 2
g = 21
So, the number of goals Louis scored is 21.
I hope this explanation helps you understand how to solve these problems! Let me know if you have any further questions.