Jeremy celebrates his baby's first birthday party. He has $100. He purchased a vanilla cake for $30, one big balloon for $10, and 10 birthday caps. Each of the birthday caps costs the same price.
Write an equation representing the total expenditure of the party and determine the price of one cap.
Answer (3)
100 = 30 + 10 + 10x 100 = 40 + 10x -40 -40 60 = 10x
10 10
6 = x
The equation is: 100 = 30 + 10 + 10x The price of one cap is: $6
Jeremy is celebrating his baby's first birthday and needs to calculate the price of one cap based on his expenditures. He spent $30 on the vanilla cake, $10 on one big balloon, and bought 10 birthday caps. If we let c represent the cost of one cap, we can write an equation to represent the total amount Jeremy spent, which was $100. The equation representing the total expenditure would be:
30 + 10 + 10c = 100
To find the price of one cap, we must solve the equation for c . Subtracting the cost of the cake and the balloon from the total expenditure gives us:
10c = 100 - 30 - 10
10c = 60
Dividing both sides of the equation by 10 gives us the cost of one cap:
c = 6
Therefore, the price of one birthday cap is $6.
The total expenditure equation for Jeremy's party is 100 = 30 + 10 + 10 x , which simplifies to determine that each birthday cap costs $6. Following the calculations, the price of one cap was found to be $6. The solution involved isolating the variable and solving the equation systematically.
;
