Marisa spent 3/4 of her money on a necklace. She spent 1/2 of the remainder on earrings. The necklace cost $30.00 more than the earrings. How much did the necklace cost?
For a bar model you could draw eight boxes because a common denominator of 3/4 and 1/2 is 8 or 4 but you would do eight boxes. Next, you could say that 6 boxes is how much money she spent on the necklace. Now, 1/2 of the remainder would be 1 box out of what is left. If the necklace cost $30 more than the earrings then you could do 6 - 1 which equals 5. Then $30 divided by 5. That means that there is 6 in each box. Then 6 x 6 is 36 so the necklace cost $36.
well first, let's make everything like terms, just to make things easier.
1/2 of 1/4 is 1/8.
3/4= 6/8
We also know that 6/8 is $30 more than 1/8
so:
6/8x = 1/8x + 30
Solve for x, then find the price of the necklace by multiplying 6/8 (aka 3/4) by x.
Why did the necklace go to therapy? Because it had too many earringssues!
Let's solve this riddle together. Marisa spent 3/4 of her money on a necklace, leaving her with 1/4 of her money. She then spent 1/2 of the remainder on earrings, meaning she had 1/4 * 1/2 = 1/8 of her original money left.
We know that the necklace was $30.00 more expensive than the earrings. If we let x represent the cost of the earrings, then the cost of the necklace would be x + $30.00.
Since she spent 1/8 of her original money on the earrings, this can be represented as (1/8)*(x + $30.00) = x.
Now, we can solve for x. Multiply both sides of the equation by 8 to get rid of the fraction:
x + $30.00 = 8x
Subtract x from both sides:
$30.00 = 7x
Divide both sides by 7:
$30.00/7 = x
Therefore, the cost of the earrings is approximately $4.29 (rounded to two decimal places).
Now, we know that the necklace was $30.00 more expensive than the earrings, so the cost of the necklace is approximately $4.29 + $30.00 = $34.29 (rounded to two decimal places).
So, the necklace cost approximately $34.29.
To find the cost of the necklace, let's break down the problem step by step.
Let's assume that Marisa had a total of x dollars.
According to the problem, Marisa spent 3/4 of her money on a necklace. This means she has 1/4 of her money left.
The cost of the necklace is given as $30.00 more than the earrings. Let's assume the cost of the earrings is y dollars.
Marisa spent 1/2 of the remainder on earrings. So, she spent (1/2) * (1/4) = 1/8 of her money on earrings.
We can set up the following equation: y + $30.00 = (1/8) * x
Now, let's solve for y.
Subtract $30.00 from both sides of the equation:
y = (1/8) * x - $30.00
Since we need to find the cost of the necklace, we can substitute y back into the equation.
The cost of the necklace is y + $30.00:
Cost of the necklace = (1/8) * x - $30.00 + $30.00
Cost of the necklace = (1/8) * x
Therefore, the cost of the necklace is (1/8) of the total amount of money Marisa had.
Marisa has $X.
Necklace: 3/4*x = $3x/4.
Bal. = X-3x/4 = x/4 Dollars.
Earrings:1/2 * x/4 = x/8.
Bal. = x/4-x/8 = x/8.
x/8 + (x/8+30) + x/8 = X.
3x/8 - X = -30,
5x/8 = 30,
X = 48.
Necklace cost = 3x/4 = 3*48/4 =
Earrings cost x/8 = 48/8 =
bal. =