AA.16 Solve one-step equations: word problems

BXY
You've won a new prize!
Go to your game board.

Diana is a junior counselor at Cactusville Craft Camp. One day, Diana's campers make lanyard keychains out of plastic string. For each keychain, Diana cuts a long piece of string into 8 equal pieces. Each piece is 1.25 feet long.
Which equation can you use to find the length s of the long piece of string before Diana cuts it?
Solve this equation for s to find the length of the long piece of string.
feet

1 answer

To find the length \( s \) of the long piece of string before Diana cuts it, we need to consider that she cuts the string into 8 equal pieces, each being 1.25 feet long.

The relationship can be expressed with the equation:

\[ s = 8 \times 1.25 \]

Now, we can solve this equation:

\[ s = 8 \times 1.25 \]

Calculating the right side:

\[ 8 \times 1.25 = 10 \]

So,

\[ s = 10 \text{ feet} \]

Thus, the length of the long piece of string before Diana cuts it is 10 feet.