Question

Mikhael and Hema are planning the annual school fundraiser. They
want to earn more this year than they did last year. Last year, they
earned $4,000. 80% of the earnings went directly to the school and
20% was spent on the cost of the fundraiser. This year, they want
$4,000 to go directly to the school.

a. Write and solve an equation to find how much more they need to
earn this year before paying for costs.

b. What is the total amount they need to earn this year?

Answer 1

Percent of earnings that go to school = 80%

Percent of earnings that was spent on the fundraiser cost = 20%

Last year earnings were= $4000

80% of 4000 went to school which is =

$\frac{80}{100}\times4000=3200$

20% of 4000 =$\frac{20}{100}\times4000=800$ went to costs.

a:

As given, this year, they want  $4,000 to go directly to the school.

So let the earnings this year be represented by = x

As, 80% of the earnings go to school, so 80% of x = 4000

$\frac{80}{100}*x=4000$

$80x=400000$

$x=5000$

Hence, this year their earnings should be $5000 so that 80% of it which is $4000 will go to school. And 20% which is $1000 will go to costs.

Or we can say last year they earned $4000, so this year they need to earn $1000 more.

b:

The total amount they need to earn this year is $5000.