Question

Sarah has 12 bags of apples. Mikaela has 17 bags of apples. Each bag has the same amount of apples inside. Wrie an expression for the total amount of apples. Then simplify it using the distributive property to create an equivalent expression.

Answer 1

The expression for the total amount of apples is 29x

Solution:

Given that,

Sarah has 12 bags of apples

Mikaela has 17 bags of apples

Each bag has the same amount of apples inside

Let "x" be the number of apples in each bag

Then,

Sarah has 12x apples

Mikaela has 17x apples

Wrie an expression for the total amount of apples

Total amount of apples = 12x + 17x

Then simplify it using the distributive property to create an equivalent expression

By distributive property,

a(b + c) = ab + bc

Therefore,

$12x+17x = x(12+17)\\\\12x+17x = 29x$

Thus expression for the total amount of apples is 29x