Answer the following blank
Please
Answers
Given:
- Pineapple + Pineapple + Pineapple = Strawberry
- Strawberry + 1 = Grapes
- Grapes + Grapes = 24
- Watermelon + Pineapple = 6
- Grapes + Strawberry + Watermelon = ?
To Find:
The sum of value of grapes, strawberry and watermelon.
Solution:
Let's say the pineapple be "a", strawberry be "b", grapes be "c" and watermelon be "d".
Therefore,
⇒ a + a + a = b
⇒ 3a = b -------- (eq 1)
⇒ b + 1 = c
⇒ 3a + 1 = c ------- (eq 2)
⇒ c + c = 24
⇒ 2c = 24
⇒ c = 12 (grapes)
Value of grapes i.e. c is 12. Substitute value of c in (3a + 1 = c) to get the value of a.
⇒ 3a + 1 = 12
⇒ 3a = 11
⇒ a = 11/3
(Number of fruits can't be in fraction. So, there is error in second equation. If we subtract 1 from strawberry, still we get a fraction number. So, multiply the 1 in second equation.)
CORRECT QUESTION:
- Pineapple + Pineapple + Pineapple = Strawberry
- Strawberry × 1 = Grapes
- Grapes + Grapes = 24
- Watermelon + Pineapple = 6
- Grapes + Strawberry + Watermelon = ?
⇒ 3a × 1 = 12
⇒ a = 4 (pineapple)
Substitute value of a in (eq 1)
⇒ 3(4) = b
⇒ 13 = b
⇒ b = 12 (strawberry)
Similarly,
⇒ d + a = 6
⇒ d + 4 = 6
⇒ d = 2 (watermelon)
From above calculations; we have value of pineapple is 4, strawberry is 12, grapes is 12 and watermelon is 2. Substitute these value in last equation i.e. the sum of c, b and d; to get the resultant value.
⇒ c + b + d
⇒ 12 + 12 + 2
⇒ 26
Therefore, the sum of grapes, strawberry and watermelon is 26.