The equation that represents the total liters of acid that are needed is 0.5 x + 0.9 y = 6 ⇒ 3rd answer
Step-by-step explanation:
The given is:
- A scientist needs 10 L of a solution that is 60% acid
- She has a 50% acid solution and a 90% acid solution she can mix together to make the 60% solution
- x represents the number of liters of the 50% solution
- y represents the number of liters of the 90% solution
We need to find the equation which represents the total liters of acid that are needed
∵ x represent the number of liters of the 50% solution
∴ The quantity of acid from the 50% solution = 50% × x
∵ 50% = 50 ÷ 100 = 0.5
∴ The quantity of acid from the 50% solution = 0.5 x liters
∵ y represents the number of liters of the 90% solution
∴ The quantity of acid from the 90% solution = 90% × y
∵ 90% = 90 ÷ 100 = 0.9
∴ The quantity of acid from the 90% solution = 0.9 y liters
∵ The scientist needs 10 L of a solution that is 60% acid
∴ The quantity of acid that she need = 60% × 10
∵ 60% = 60 ÷ 100 = 0.6
∴ The quantity of acid that she need = 0.6 × 10 = 6 liters
To find the total liters of acid add 0.5 x and 0.9 y and equate
the sum by 6
∵ The total amount of the acid = 0.5 x + 0.9 y liters
∵ The total liters of the acid is 6 liters
∴ 0.5 x + 0.9 y = 6
The equation that represents the total liters of acid that are needed is 0.5 x + 0.9 y = 6
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