Question

1.Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age. How old is each? (2 points)

2. Salisbury High School decided to take their students on a field trip to a theme park. A total of 150 people went on the trip. Adults pay $45.00 for a ticket and students pay $28.50 for a ticket. How many students and how many adults went to the park if they paid a total of $4770? (2 points)

3.Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have? (2 points)

Answer 1

1) Belinda is 32 while Tony is 24.

Answer 2

@All_Hail_Moses directly from the Code of conduct:
Don't provide someone with just the answer - explain the process, and help guide them through understanding the problem.

Answer 3

can some one please actually help me?

Answer 4

I will work with you.

Answer 5

1.Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age.
let Tony's age = x and Belinda's age = b
can you write 2 equations with x + b ?

Answer 6

umm b=56-2x+8?
then x=56-b right?

Answer 7

yes
x + b = 56
b = 2x + 8

Answer 8

so you can substitute for b and solve for x

Answer 9

idk what I did wrong, I got 40 for b

Answer 10

minor correction umm b=56-2x+8? should be b = 2x + 8

Answer 11

yeah I know, that is what I used

Answer 12

I got the same check it's fine to me
x = 16 b = 2*16 = 8 = 32 + 8 = 40
check 2 16 + 40 = 56

Answer 13

typo 2*16 + 8 = 32 + 8 = 40

Answer 14

ok with part 1?

Answer 15

Tony is 16 and Belinda is 40

Answer 16

Oh okay so I was right

Answer 17

try #2 with the same approach. Use the information given to set up equations then solve simultaneously

Answer 18

ok

Answer 19

let S = student and A = adult
then S + A = 150
and 28.50S + 45.00A = 4770

I would multiply the 2nd eqn by 10 to get rid of fraction and also factor to work with smaller numbers

Answer 20

using S = 150 -A in the 2nd eqn
57(150 - A) + 90 A = 9540
solve for A = 30
S = 120

good practice to verify solution
28.50(120) + 45(30) = 3420 + 1350 = 4770 as given

Answer 21

120 students and 30 adults went to the park

Answer 22

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