Question

Chealsea has 7/8 pound of butter to make icing. Each batch if icing needs 1/4 pound of butter. Write and solve an equation that models the situation. Then interpret the quotient

Answer 1

The equation that models the situation is 7/8 = 1/4x. Chelsea can make 3.5 batches of icing with 7/8 pound of butter.

Step-by-step explanation:

To model the situation, we can set up an equation to represent the amount of butter Chelsea has and the amount of butter needed for each batch of icing. Let x be the number of batches of icing Chelsea can make.

We know that Chelsea has 7/8 pound of butter and each batch of icing requires 1/4 pound of butter. So, the equation can be written as:

7/8 = 1/4x

To solve for x, we can multiply both sides of the equation by 8/1:

x = (7/8)/(1/4) = 7/8 * 4/1 = 7/2 = 3.5

Therefore, Chelsea can make 3.5 batches of icing with 7/8 pound of butter.

Answer 2

Chelsea can make 3
`(1)/(2)` batches of icing with 7/8 pounds of butter.

Step-by-step explanation:

7/8 ÷ 1/4 (reciprocate 1/4 to replace division sign with multiplication sign)

= 7/8 x 4/1

= 28/8

= 7/2

= 3
`(1)/(2)`

This means that Chelsea can make 3
`(1)/(2)` batches of icing with 7/8 pounds of butter.

I hope this helps :)