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College Discussion / College Admissions and Search / SAT and ACT Tests & Test Preparation / SAT Preparation

Ren the SAT'er
Posts: **2,303**Registered User Senior Member

the price of ground coffee beans is d dollars for 8 ounces and each ounce makes c cups of brewed coffee. in terms of c and d, what is the dollar cost of the ground coffee beans required to make 1 cup of brewed coffee?

a. d/8c

b. cd/8

c. 8c/d

d. 8d/c

e. 8cd

how do i approach this problem? its always confusing when it has 3 diff things going on =/

a. d/8c

b. cd/8

c. 8c/d

d. 8d/c

e. 8cd

how do i approach this problem? its always confusing when it has 3 diff things going on =/

Post edited by Ren the SAT'er on

## Replies to: math question

602- Member976Registered User Member8 ounces -> 8c cups

d dollars -> 8 ounces -> 8c cups

d dollars -> 8c cups

divide by 8c throughout to get

d/8c dollars -> 1 cup

698Registered User MemberLet say 8 dollars buys you 8 ounces, in which each ounce makes 2 cups.

So that costs 1 dollars per ounce, which will make 2 cups.

This is the same as .50 dollars to make 1 cup.

Now plug in 8 for d, and 2 for c, and see which answer gets you .5.

A. (8)/(8x2)= .5

A is your answer

(BTW if you use this method, you need to make c an integer greater than 1.)

324Registered User Member3,267Registered User Senior MemberLet's say it costs 80 dollars for 8 oz. That's 10 dollars for 1 oz. And each ounce makes 5 cups of coffee. So it costs 2 dollars per cup. Clearly I first did 80/8 , and then that divided by 5, which is the same as d/(8c).

It's the same method as Ivyleague's.

74Registered User Junior MemberIt says "d dollars for 8 oz" which is the same as "$d/8oz."

Next it says 1 ounce = c cups, so

8 ounces = 8c cups

you want cups not ounces so replace 8oz in $d/8oz with 8c, leaving

d/8c. it's kinda weird method, but it works for me and many people at my school.