Question

5. Use the equation shown to answer a-b.

0.75x + 3 = 0.25x + 5.25
a. Can the equation above be used to solve the following problem? If not, explain why.
cream shop, customers pay $3.00 for a medium ice cream plus $0.75 per topping. Ata
second ice cream shop, customers pay $5.25 for a medium ice cream plus $0.25 per topping. How
hany Toppings would a customer have to order for the ice cream to cost the same at either shop?
Can the equation above be used to solve the following problem? If not, explain why.
Joseph has $3.00 in his piggy bank and he adds $0.75 each day. Kelsey has $5.25 in her piggy
ink and she spends $0.25 each day. When will Joseph and Kelsey have the same amount in their
piggy banks?"​

Answer 1

a. No

b. 2.25 days

Explanation:

0.75x + 3 = 0.25x + 5.25

a......................

Constants are $3 and $5.25 respectively

Topping costs $0.75 and $0.25 respectively

To have same cost the toppings number would be different as cost is different.

Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:

• 0.75x + 3 = 0.25y + 5.25

The answer is NO due to two different variables in the equation

b.......................

Constants are $3 and $5.25 respectively

Joseph adds $0.75 each day and Kelsey spends $0.25 each day

Number of days should be same in this case, so variable will be same and the result (amount left in bank) is same.

So the equation for this case is:

• 3 + 0.75x = 5.25 - 025x

Solving, we get:

• 0.75x + 0.25x = 5.25 - 3
• x = 2.25

This is the solution to equation despite being a whole number.