Question

Math help

Roxy has 3 times as many dog biscuits as Briggs and 50 more dog biscuits than Sapphire. They have 972 dog biscuits altogether. How many more dog biscuits does Sapphire have than Briggs?
Please answer step-by-step

Answer 1

3B = R

R/3 = B

S + 50 = R

S = R - 50

R + S + B = 972

(R - 50) + (R/3) + R = 972

2R - 50 + R/3 = 972

7R/3 - 50 = 972

7R/3 = 1022

7R = 3066

R = 438

B = R/3

B = 438 / 3

B = 146

S = R - 50

S = 438 - 50

S = 388

S - B

388 - 146 = 242

Answer: Sapphire has 242 more dog biscuits than Briggs.

Explanation:

R = Roxy

B = Briggs

S = Sapphire

First, set up what you know from the problem.

Now, you need to find Sapphire and Briggs. Display all of them in terms of R. Then, add all the values together, algebraically.

Hope this helps!