Question

Toby’s cup can hold 8 times as many ounces of water as Terry’s. Tom’s cup holds 5 more ounces of water than Terry’s. Together, the cups hold 35 ounces of water. How many ounces of water does Toby's cup hold? Define a variable, write an equation, and solve.

A. 6 ounces
B. 7 ounces
C. 8 ounces
D. 9 ounces

Answer 1

After defining Terry's cup's capacity as 't' ounces, we set up and solve an equation based on the given relationships. The solution reveals that Toby's cup holds 24 ounces of water.So, Toby's cup holds 24 ounces of water, which makes the answer (D) 24 ounces.

Step-by-step explanation:

The question asks us to determine how many ounces of water Toby's cup can hold when we have the information about the relationship between the volumes of cups owned by Toby, Terry, and Tom and their total capacity.

Let Terry's cup hold 't' ounces of water.

According to the problem, Toby's cup holds 8 times that amount, so it holds 8t ounces. Tom's cup holds t + 5 ounces. The equation based on the total capacity is:

t + 8t + (t + 5) = 35

Combining like terms:

10t + 5 = 35

Subtract 5 from both sides:

10t = 30

Divide by 10:

t = 3

Now that we know Terry's cup holds 3 ounces, we can find Toby's cup's capacity by multiplying by 8:

8 * 3 = 24

So, Toby's cup holds 24 ounces of water, which makes the answer (D) 24 ounces.