Question

In a box of mixed nuts, the total number of almonds, cashews and peanuts is 1025.
The ratio of almonds to cashews is 1:3
The ratio of cashews to peanuts is 5:7
Calculate the number of cashews in the box

Answer 1

• Given,

the ratio of almonds to cashews = A:C = 1:3                                                                                                and the ratio of cashews to peanuts = C:P = 5:7

• Now, we will make coefficients of C in the ratio equal by multiplying the ratio by suitable number.

A:C = 1:3 = 5:15                                                                                                                               and C:P = 5:7 = 15:21

So, the total sum of coefficients = 5+15+21 = 41

So, number of cashews in box = 15/41 ×1025 = 375

Answer 2

Answer:

Therefore the number of cashews in the box is 375.

Step-by-step explanation:

let the number of almonds be x

let the number of cashews be y

let the number of peanuts be z

x  + y + z = 1025

y = 3x              

7y  = 5z

5x + 5y + 5z  = 5125

5x + 5y + 7y = 5125

5x + 12y = 5125

5x + 36x = 41x = 5125

x = 125

y = 375

Therefore the number of cashews in the box is 375.