Answer:
Step-by-step explanation:
let $p, $c and $d represents the costs of popcorn, candy and a drink respectively. If the popcorn was three times as expensive as the candy then;
p = 3c.... 1
If the drink was twice as expensive as the candy then d = 2c .... 2
If Eva spent a total sum of $10.50 at the movies, the equation that represents the situation will be p + c + d = $10.50 .... 3
Substituting equation 1 and 2 into 3;
3c + c + 2c = $10.50
6c = $10.50
Hence the equation to represent the situation is 6c = $10.50 where c represents the cost of the candy.
b) To get c from the equation 6c = $10.50, we will simply divide both sides by the coefficient of c i.e 6 as shown
6c/6 = $10.50/6
c = $1.75
Hence the value of c is $1.75
c) The equation representing Eva's drink in terms of the candy is expressed as d = 2c
Substituting c = $1.75 into the equation will give;
d = 2(1.75)
d = 3.5
Hence the cost of Eva's drink is $3.50
