Answer:
Alfred has 40 tokens
Clarissa has 30 tokens
Benji has 15 tokens
Step-by-step explanation:
Let's give each person a variable:
A for Alfred
C for Clarissa
B for Benji
Now, we can take what the question is saying and convert them into equations:
Alfred has 10 more tokens than Clarissa can look like this:
A = C + 10
Since Alfred has 10 more coins than Clarissa we can take C and add 10 to find how many tokens Alfred has.
Clarissa has twice as many tokens as Benji looks like this:
C = 2B
Since Clarissa has twice as many tokens as Benji we can multiply B (how many tokens Benji has) by 2.
Lastly, they have 85 tokens all together:
A + B + C = 85
We have these 3 equations:
A = C + 10
C = 2B
A + B + C = 85
Now, we can substitute some variables:
A = (2B) + 10 Since C is equal to 2B we can substitute 2B in for C in the first equation.
We have found what A equals, we can plug that in to the last equation:
(2B) + 10 + B + C = 85
We can also substitute the second equation into the third equation:
(2B) + 10 + B + 2B = 85
Combine like terms:
5B + 10 = 85
Solve
5B = 75
B = 15
This means that Benji has 15 tokens. Now we can find how much the other children have:
C = 2(15) = 30
Clarissa has 30 tokens
A = 30 + 10
A = 40
Alfred has 40 tokens.
Answer:
Alfred has 40 tokens
Clarissa has 30 tokens
Benji has 15 tokens
Checking the Answer
A + B + C = 85
40 + 15 + 30 = 85
85 = 85
I hope this helps!!
- Kay :)
