Question

Priya bought x grams of flour. Clare bought 3/8 more than that. Select all equations that represent the relationship between the amount of flour Priya bought, x, and the amount of flour that Clare bought, y.

A. y= 3/8x

B. y=5/8x

C. y=x+3/8x

D. y=x-3/8x

E. y=11/8x

Answer 1

2 Answers: Choice C and choice E

y = x + (3/8)x and y = (11/8)x

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Step-by-step explanation:

x = amount Priya bought

y = amount Clare bought

(3/8)x = extra amount Clare bought compared to Priya

y = x + (3/8)x = amount Clare bought (x and then the extra 3/8x)

Therefore, choice C is one of the answers.

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Let's combine like terms to simplify

x + (3/8)x = (8/8)x + (3/8)x

x + (3/8)x = ( (8+3)/8 )x

x + (3/8)x = (11/8)x which points to choice E as the other answer

This is effectively the same idea as saying 1 + 3/8 = 11/8, i.e. the mixed number 1 & 3/8 converts to the improper fraction 11/8.