Question

Mrs. Jones is handing out candy to trick-or-

treaters. She gives out candy bars to kids in
costume and small packages of gummies to kids
without a costume. The candy bars cost $0.80,
and the gummies cost $0.25. At the end of the
night, 100 children visited Mrs. Jones's home,
and she gave out $69.00 in candy. How many
children who visited Mrs. Jones's home were
wearing a costume?
A. 20
B. 50
C. 69
D. 80
E. 92

Answer 1

Hello!

Firs things first, lets write down what we needed to put in the equation.

Candy bars = kids with costumes

Gummies = kids with no costume

$0.80 per candy bar

$0.25 per gummies

100 children visited Mrs. Jones.

She gave out $69 candy

We have two equations to make!

x + y = 100

0.80x + 0.25y = 69

Now lets solve for x!

x + y = 100

0.80x + 0.25y = 69

Let pick a number that adds up to 100,

80 + 20 = 100

now lets plug those numbers into the equation.

0.80(80) + 0.25(20) = 69

64 + 5 = 69

69 = 69

now we know that,

x=80

y=20

but what does x and y represent?

x represents kids in costume

y represents kids in no costumes

What is the question asking?

How many children who visited Mrs. Jones's home were wearing a costume?

x represents kids in costume

so, the answer is 80,

80 kids were wearing a costume.

I hope this helps,

Have a wonderful day!