Question

1. The grocery store was selling variety bags of apples. Each bag contained x Braeburn apples, y Granny Smith apples, and z Honeycrisp apples. Zahra bought 2 bags of apples. For each expression, identify whether it can be used to determine the total number of apples Zahra bought. Explain your answer.

(a) 2 + x + y + z
(b) 2x + 2y + 2z
(c) 2(xyz)
(d) x + x + y + y + z + z
(e) 2(x + y + z)
(f) x + y + z/2

Answer 1

(b) 2x + 2y + 2z

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x = Braeburn apples
y = Granny apples
z = Honeycrisp apple
It says that
Zahra bought two bags of each kind to make this faster it would be (b) 2x + 2y + 2z
She would not have bought all three kinds, so there are various expressions that could work 2x 2y 2z x + y x + z y + z

Answer 2

(b)
`2x+2y+2z`

(d)
`x+x+y+y+z+z`

(e)
`2(x+y+z)`

Explanation:

We have been given that each bag at grocery store contained x Braeburn apples, y Granny Smith apples, and z Honeycrisp apples.

To total number of apples in each bag would be
`x+y+z`.

We have been given that Zahra bought 2 bags of apples. So number of pples Zahra will have would be
`2(x+y+z)`

Using distributive property, we will get:

`2(x+y+z)=2x+2y+2z`

We can rewrite our expression as:

`2x+2y+2z=x+x+y+y+z+z`

Therefore, option 'b', 'd' and 'e' are correct choices.