Answer:
a) 1 cupcake = $5.50
b) 1 Popsicle = $3.50
Step-by-step explanation:
Let s = cost of one soda
Let c = cost of one cupcake
Let p = cost of one Popsicle
From the given information we can create 3 equations:
- Equation 1: s + c + p = 22
- Equation 2: s + 3c + 3p = 40
- Equation 3: c = p + 2
Subtract Equation 1 from Equation 2 to eliminate the variable s:
s + 3c + 3p = 40
- s + c + p = 22
2c + 2p = 18
Substitute Equation 3 into this new equation and solve for p:
⇒ 2c + 2p = 18
⇒ 2(p + 2) + 2p = 18
⇒ 2p + 4 + 2p = 18
⇒ 4p = 14
⇒ p = 3.5
Substitute the found value of p into Equation 3 and solve for c:
⇒ c = p + 2
⇒ c = 3.5 + 2
⇒ c = 5.5
To find the cost of a soda (s), substitute the found values of p and c into Equation 1:
⇒ s + c + p = 22
⇒ s + 5.5 + 3.5 = 22
⇒ s = 13
Therefore,
- 1 soda costs $13
- 1 cupcake costs $5.50
- 1 Popsicle costs $3.50
