Question

Lily, Louis, and Ben went to an arcade and won tokens for prizes. Louis won 4.5 times as many tokens as Ben. Lily won 8 more tokens than Louis. Write an expression that describes how many tokens Lily won. Be sure to define any variables that you use.

Answer 1

The expression that describes the number of tickets won by Lily is:

a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben

Solution:

Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes

Let "a" be the number of tokens won by Lily

Let "b" be the number of tokens won by Louis

Let "c" be the number of tokens won by Ben

Given that Louis won 4.5 times as many tokens as Ben

So we can frame a equation as:

number of tokens won by Louis =  4.5 times as many tokens as Ben

number of tokens won by Louis  = 4.5 x number of tokens won by Ben

$b = 4.5 \times c$

b = 4.5c

Given that Lily won 8 more tokens than Louis

number of tokens won by Lily = 8 + number of tokens won by Louis

a = 8 + b

Substituting the value of b = 4.5c in above expression

a = 8 + 4.5c

Thus the expression that describes how many tokens Lily won is found