I'm not sure how to solve the following problem. I don't think i have enough information.
Ali deposited $120 in her savings account. This represents 75% of the money she received for her birthday. She pent the rest of her money on a lego toy. How much did the lego cost?
Can someone explain how to solve this, please?
Let x = the amount of money she received for her birthday.
0.75x = 120
x = 120 / 0.75
x = $160
160 - 120 = 40
She spent $40 on the toy.
Thank you Ms. Sue!!
You're welcome, Alex.
Sure! To solve this problem, we need to work backward. We start with the information that Ali deposited $120, which represents 75% of the money she received for her birthday.
To find the total amount of money Ali received for her birthday, we need to find the whole amount that corresponds to 100% (since 100% represents the total).
To do this, we can set up a proportion using the given information:
75% ($120) = 100% (unknown total amount)
We can solve this proportion by cross-multiplying:
75 * unknown total amount = 100 * $120
Now, let's solve for the unknown total amount:
75 * unknown total amount = 100 * $120
Divide both sides by 75:
unknown total amount = (100 * $120) / 75
Calculating this expression, we find that the unknown total amount is $160.
Since the amount Ali spent on a Lego toy is the rest of her money after depositing $120, we can subtract $120 from the total amount:
Lego cost = unknown total amount - $120
= $160 - $120
= $40
Therefore, the Lego toy cost $40.