Malik bought 8 apples and 7 mangos.
To determine the number of apples and mangos that Malik bought, let's set up some equations based on the information given in the question.
Let's say the number of apples Malik bought is "a" and the number of mangos is "m".
From the question, we know that Malik bought a total of 15 apples and mangos altogether. So we can write the first equation as:
a + m = 15 -- Equation 1
We also know that each apple costs $1.75 and each mango costs $2. The total cost of the apples and mangos Malik bought is $28. So we can write the second equation as:
1.75a + 2m = 28 -- Equation 2
Now we have a system of two equations. We can solve it using substitution or elimination method.
Let's solve it using the elimination method. We'll multiply Equation 1 by 2 to make the coefficients of "m" in both equations the same:
2a + 2m = 30 -- Equation 3
Now, subtract Equation 2 from Equation 3:
(2a + 2m) - (1.75a + 2m) = 30 - 28
0.25a = 2
Divide both sides by 0.25:
a = 2 / 0.25
a = 8
So, Malik bought 8 apples.
Now, substitute the value of "a" back into Equation 1 to find the number of mangos:
8 + m = 15
m = 15 - 8
m = 7
So, Malik bought 8 apples and 7 mangos.
Therefore, Malik bought 8 apples and 7 mangos.