Question

a pencil case cost 4 times as much as a pen. 2 pencil cases and 3 pens cost $24.75 altogether. find the cost of each pencil case​

Answer 1

Step-by-step explanation:

let the value of pen be x then 2 pen=2x and pencil 4 times of pen=4x

2x+3(4x)=24.75,given

14x=24.75

x=24.75/14

=$1.77 (approx) the cost pen

1.77×4=7.08 (approx)

Answer 2

The price of each pencil box is $9, while the price of each pen is $2.25.

• Let's assume that the cost of a pen is "x" dollars. Then, according to the problem, the cost of a pencil case is 4 times "x", which is equal to 4x dollars.

• Now, we are given that 2 pencil cases and 3 pens cost $24.75 altogether. Using the costs we just found, we can write an equation:

• 2(4x) + 3(x) = 24.75

• Simplifying this equation, we get:

• 8x + 3x = 24.75

• 11x = 24.75

• x ≈ 2.25

• So, the cost of a pen is approximately $2.25.

• Now, we can use this value to find the cost of a pencil case:

• 4x = 4(2.25) = 9

• Therefore, the cost of each pencil case is $9.

• In summary, a pen costs approximately $2.25 and a pencil case costs $9, based on the given information.

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