. James bought 990 apples and pears. Given that half of the number of apples was equal 2/7 to of the number of pears. How many more pears than apples were bought?

James bought 270 more pears than apples.

Пошаговое объяснение:

Let's assume the number of apples bought is A, and the number of pears bought is P.

Given that half of the number of apples was equal to 2/7 of the number of pears, we can write the equation: (1/2)A = (2/7)P

To simplify the equation, we can multiply both sides by 2 to eliminate the fraction: A = (4/7)P

We also know that James bought a total of 990 apples and pears: A + P = 990

Now we can substitute the value of A from the first equation into the second equation: (4/7)P + P = 990

Combining like terms: (11/7)P = 990

To isolate P, we can multiply both sides by 7/11:
P = (990 * 7) / 11
P = 630

So James bought 630 pears.

To find the number of apples, we can substitute the value of P into either of the original equations. Let's use the first equation:
A = (4/7)P
A = (4/7) * 630
A = 360

Therefore, James bought 360 apples.

To find the difference between the number of pears and apples, we subtract the number of apples from the number of pears:
Difference = P - A
Difference = 630 - 360
Difference = 270