Question

Dora has 10 seashells and plans to add 2 shells every week. Jerri has 4 seashells and plans to add 5 shells every week. Which system of equations would be used to find out how many weeks would it be before the girls have the same number of seashells.

Answer 1

Answer:

Let x represents the week and y represents the seashells

As per the statement:

Dora has 10 seashells and plans to add 2 shells every week.

"2 shells every week" means 2x

⇒y = 10 + 2x

It is also given, Jerri has 4 seashells and plans to add 5 shells every week.

"5 shells every week" means 2x

⇒ y = 4 + 5x

The system of equation would be used:

y = 10 + 2x

y = 4 + 5x

Since, the girls have the same number of seashells

⇒$10 + 2x = 4 + 5x$

Subtract 4 from both sides we get;

$6 + 2x = 5x$

Subtract 2x from both sides we get;

$6= 3x$

Divide by 3 both sides we have;

x = 2 weeks.

Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.