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# [Smart Math] Ratio Proportion Problem 46

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

### Problem

Rose has $350 with her made up of equal number of 25 cents, 50 cents and$1 coins. Find the total number of coins that R has?

1. 600
2. 300
3. 200
4. 400
5. 500

### The Usual Method

Let there be ‘x’ number of coins of each denomination. Hence, there are a total of 3x coins.

Total value of each type of coin = $0.25x+0.50x+1x=350$

$\therefore 1.75x=350$

$\therefore x=\frac{350}{175}\times 100=200$

$\therefore$Total number of coins that Rose has = 3 x 200 = 600

(Ans: 1)

Estimated Time to arrive at the answer = 30 seconds.