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?

a) 16 ounces
b) 18 ounces
c) 20 ounces
d) 24 ounces

Answer 1

After setting up an equation to represent the total capacity of the three cups, Terry's cup is found to hold 3 ounces. Therefore, Toby's cup, which holds 8 times Terry's, has a capacity of 24 ounces.

Step-by-step explanation:

Let's define Terry's cup capacity as T ounces. So, Toby's cup holds 8T ounces, and Tom's cup holds T + 5 ounces. The total capacity of all three cups together is 35 ounces. Based on this information, we can write the following equation to represent the total capacity:

T + 8T + (T + 5) = 35

Combining like terms gives us:

10T + 5 = 35

Subtracting 5 from both sides, we get:

10T = 30

Dividing both sides by 10, we get:

T = 3 ounces

Now, to find Toby's cup capacity:

8T = 8 × 3 = 24 ounces

Therefore, Toby's cup holds 24 ounces of water, which corresponds to option d).