Answer:
Step-by-step explanation:
Recall that we say that d | a if there exists an integer k for which a = dk. So, let d = gcd(a,b) and let x, y be integers. Let t = ax+by.
We know that so there exists integers k,m such that a = kd and b = md. Then,
. Recall that since k, x, m, y are integers, then (kx+my) is also an integer. This proves that d | t.
Answer:
He sold 32 apples, 40 peaches and 60 apples.
Step-by-step explanation:
We are given that
4 apples are sold every 5 peaches and
3 tomatoes are sold every 2 peaches.
i.e. the ratio is apples: peaches = 4 : 5 ...... (1)
and the ratio peaches: tomatoes = 2 : 3 ...... (2)
Peaches are the common link here in both the ratio terms.
Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.
Multiply (1) by 2 and (2) by 5:
The ratio becomes;
apples:peaches = 8:10
peaches: tomatoes = 10:15
In other words, the ratio becomes:
apples:peaches:tomatoes = 8:10:15
Let the number of apples =
Let the number of peaches =
Let the number of tomatoes =
We are given that total fruits are = 132
So, number of apples sold =
Number of peaches sold =
Number of tomatoes sold =