math
posted by mili .
a basket of with 12 apples has a mass of 3105 grams. the same basket with 7 apples has a mass of 1,980 grams. each apple has the same mass. what is the mass of the basket?

a = mass of one aple
b = mass of basket
1 basket :
12 a + b = 3105 Subtract 12 a to both sides
12 a + b  12 b = 3105  12 a
b = 3105  12 a
2 basket :
7 a + b = 1980
7 a + 3105  12 a = 1980
 5 a + 3105 = 1980 Subtract 3105 to both sides
 5 a + 3105  3105 = 1980  3105
 5 a = 1125 Divide both sides by  5
 5 a /  5 =  1125 /  5
a = 225 grams
b = 3105  12 a
b = 3105  12 * 225
b = 3105  2700
b = 405 grams
Proof :
12 a + b = 3105
12 * 225 + 405 = 3105
2700 + 405 = 3105
3105 = 3105
7 a + b = 1980
7 * 225 + 405 = 1980
1575 + 405 = 1980
1980 = 1980 
1 basket :
12 a + b = 3105 Subtract 12 a to both sides
12 a + b  12 a = 3105  12 a
b = 3105  12 a
Respond to this Question
Similar Questions

Science
The electronic balance displays the mass of an apple in kiograms(0.1). What is the mass of the apple? 
math
A basket with 12 apples has mass of 3105 grams. The same basket w 7 apples has a mass of 1980 grams. Each apple has same mass. What is mass of the basket 
Math
What is the answer to A basket with 12 apples has a mass of 3,105 grams. The same basket with 7 apples has a jhaad of 1980 grand each apple has the same mad what is the mess of the baskets? 
Maths
The number of apples in a basket is between 60 and 120. If i put these apples into bags of 5, there will be a remainder of 1 apple. If i put these apples into bags of 8, there will be a remainder of 6 apples. Find the total number … 
Maths
Dear Genius, Good day! The number of apples in a basket is between 60 and 120. If i put these apples into bags of 5, there will be a remainder of 1 apple. If i put these apples into bags of 8, there will be a remainder of 6 apples. … 
Math
Andrea has an equal number of apples in two baskets. There are z + 16 apples in one basket, and 23 apples in the other basket. How many apples should she remove from both to find the value of z? 
algebra
a basket of with 12 apples has a mass of 3105 grams. the same basket with 7 apples has a mass of 1,980 grams. each apple has the same mass. what is the mass of the basket? 
math
A basket with 12 apples has a mass of 3105 grams. The same basket with 7 apples has a mass of 1980 grams. Each apple has the same mass. What is the mass of the basket? 
Math
A basket with 12 apples has a mass of 3105 grams. The same basket with 7 apples has a mass of 1980 grams. Each apple has the same mass. What is the mass of the basket? 
probabilty
There are 4 baskets. The first basket has 3 apples and 4 oranges, the second one has 4 apples and 5 mangoes, the third one has 6 Mangoes and 2 bananas and the last one has 7 bananas and 2 apples. If a fruit is randomly chosen from …