USING RATIO REASONING TO SOLVE PROBLEMS

Example 1 :

Sheldon and Leonard are partners in a business. Sheldon makes $2 in profits for every $5 that Leonard makes. If together they make a profit of $28 on the first item they sell, how much profit does Sheldon make ?

Solution :

Step 1 :

Given : Sheldon’s profit is $2 and Leonard's profit is $5.

Total profit = 2 + 5 = $7.

The ratio of Sheldon’s profit to the total profit is

$2/$7

Let S be the Sheldon's profit for the given total profit $28.

Then, we have

Step 2 :

Let us use ratio reasoning to find S.

Because $7 x 4 = $28, multiply $2 by 4.

Therefore, if they make a total profit of $28, then Sheldon makes a profit of $8.

Example 2 :

The members of the PTA are ordering pizza for a meeting. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order. How many cheese pizzas will they order if they order a total of 25 pizzas ?

Solution :

Step 1 :

Given : 2 cheese pizzas for every 3 pepperoni pizzas.

Total profit = 2 + 3 = 5 pizzas

The ratio of cheese pizzas to total pizzas is

2/5

Let C be the number of cheese pizzas for the given total pizzas 25.

Then, we have

Step 2 :

Let us use ratio reasoning to find C.

Because 5 × 5 = 25, multiply 2 by 5.

Therefore, if they order a total of 25 pizzas, then they will order 10 cheese pizzas.

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