Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

Three types of tea each worth $6.00 / lb, $7.50 / lb and $*x* / lb are mixed in proportion of 1 : 2 : 3 to form a mixture worth $8.50 / lb. What is the value of *x* in $ / lb?

- 7.00
- 7.50
- 8.00
- 8.50
- 10.00

**The Usual Method**

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Let the quantities of each type of $6.00, $7.50 and $*x* of tea be 1 lb, 2 lbs and 3 lbs respectively as per their proportions.

Hence total worth of tea =

Hence cost / lb =

This is equal to $8.50 / lb

**(Ans: 5)**

*Estimated Time to arrive at the answer = 60 seconds.*

**Using Technique**

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Observe that if two types of tea of $6 and $7.50 to be mixed with a third type of $*x* to form a mixture costing $8.50, the cost of the third type of tea should be more than $8.50. This means that you can eliminate all other options except ‘5’ i.e. $10 which is the answer.

**(Ans: 5)**

*Estimated Time to arrive at the answer = 5 seconds.*

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## One reply on “[Smart Math] Ratio Proportion Problem 56”

how can we go by this technic when ratio is given?

if ratio is 1:2:4 or 1:2:5 then this technic would be wrong.