Question

Emily and Jordan have the same number of sweets. Emily eats 14 of hers, and Jordan eats 20 of his. Emily now has twice as many sweets as Jordan. How many sweets did they each have to start with?

A) Emily had 48 sweets, and Jordan had 48 sweets.
B) Emily had 34 sweets, and Jordan had 34 sweets.
C) Emily had 54 sweets, and Jordan had 54 sweets.
D) Emily had 40 sweets, and Jordan had 40 sweets.
E) Emily had 60 sweets, and Jordan had 60 sweets.

Answer 1

Emily and Jordan each had 26 sweets initially.

Step-by-step explanation:

Let's assume that Emily and Jordan each had x number of sweets initially.

After Emily eats 14 of her sweets, she is left with x - 14 sweets.

Similarly, after Jordan eats 20 of his sweets, he is left with x - 20 sweets.

According to the information given, Emily now has twice as many sweets as Jordan. So we can write the equation: x - 14 = 2 * (x - 20).

Simplifying this equation, we have: x - 14 = 2x - 40.

Subtracting x from both sides, we get: -14 = x - 40.

Adding 40 to both sides, we get: 26 = x.

Therefore, both Emily and Jordan had 26 sweets initially.