Question

Amy has a collection of marbles in three sizes, small, medium, and large. She has five times as many small marbles as medium marbles. The number of large marbles is two more than three times the number of medium marbles. a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has. b.Write an algebraic expression to represent the number of large marbles she has. c.If Amy has a total of 560 marbles, how many of each size does she have? Show your work. (please i need help im really stuck)

Answer 1

A. s = 5x

B. y = 3x + 2

C y=166

Explanation:

Answer 2

Answer: she has 310 small marbles, 62 medium marbles and 188 large marbles.

Explanation:

Let w represent the number of small marbles Amy has.

Let x represent the number of medium marbles Amy has.

Let y represent the number of large marbles Amy has.

a) She has five times as many small marbles as medium marbles. This means that

w = 5x

b) The number of large marbles is two more than three times the number of medium marbles. This means that

y = 3x + 2

c) If Amy has a total of 560 marbles, it means that

5x + x + 3x + 2 = 560

9x = 560 - 2

9x = 558

x = 558/9 = 62

w = 5x = 62 × 5

w = 310

y = 3x + 2 = 3 × 62 + 2

y = 188