Madison spent 5/8 of her savings on a microwave oven and a refridgerator. She used 4/7 of the amount she spent to buy the refrigderator. The refridgerator cost $280 more than the microwave oven. How much savings did Madison start with ?
20/56 of her savings was spent on the fridge. 15/56 of her savings was spent on the microwave. Let the savings be S.
(20/56 - 15/56) S = 5/56 S = 280
Solve for S.
S = $3136
May you explain how did you get the 20/56 and the 15/56 . I do not know what you did there . Answer back please .
I have the same question too!
To find out how much savings Madison started with, we need to break down the given information step by step.
Let's assume Madison's savings as "x" dollars.
According to the information given, Madison spent 5/8 of her savings on a microwave oven and a refrigerator.
The amount Madison spent on the microwave oven can be calculated by multiplying the total savings (x) by the fraction spent, which is 5/8:
Amount spent on microwave oven = (5/8) * x
Now, we know that Madison used 4/7 of the amount she spent to buy the refrigerator.
The amount Madison spent on the refrigerator can be calculated by multiplying the amount spent on the microwave oven by the fraction spent, which is 4/7:
Amount spent on refrigerator = (4/7) * (5/8) * x
According to the question, the refrigerator cost $280 more than the microwave oven. So we can set up the following equation:
Amount spent on refrigerator = Amount spent on microwave + $280
(4/7) * (5/8) * x = (5/8) * x + $280
To solve this equation, we can multiply the denominators and then simplify the equation further.
(4/7) * (5/8) * x = (5/8) * x + $280
(20/56) * x = (5/8) * x + $280
Multiplying both sides of the equation by 56 to eliminate the fraction gives us:
20x = 35x + 56 * $280
Now, let's solve for x by combining like terms:
20x - 35x = 56 * $280
-15x = 56 * $280
Dividing both sides of the equation by -15 gives us:
x = (56 * $280) / -15
Therefore, Madison started with savings of $1,043.20.