4GMAT Diagnostic Test Q19 - Problem Solving - Ratio Word Problem

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This one is a problem solving question. A word problem in ratios. The ratio of apples to oranges in a shop is 10 : 7. If the shop receives 50 more apples and 25 more oranges, the ratio of apples to oranges will be 3 : 2. How many more apples does the shop have now? A) 25 B) 75 C) 300 D) 175 E) 250

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GMAT QUANTITATIVE REASONING
WORD PROBLEMS
RATIO PROPORTION
PROBLEM SOLVING
Diagnostic Test

Question
The ratio of apples to oranges in a shop is 10 : 7. If the shop
receives 50 more apples and 25 more oranges, the ratio of
apples to oranges will be 3 : 2. How many more apples does
the shop have now?
A. 25
B. 75
C. 300
D. 175
E. 250

Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
· Ratio of apples : oranges :: 10 : 7

Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
· Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.

Take a few seconds
To verify whether you have answered the
right question

How many more apples does the shop have now?
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
Finding x is only an intermediate step. We need to find “how may more apples”.

How many more apples does the shop have now?
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
· The shop has 10 x apples and 7x oranges.
Finding x is only an intermediate step. We need to find “how may more apples”.

How many more apples does the shop have now?
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
75 more apples
· The shop has 10 x apples and 7x oranges.
Finding x is only an intermediate step. We need to find “how may more apples”.
 the shop has 10x – 7x = 3x more apples.
· We have computed x to be 25 Hence, the shop has 3 * 25 = 75 more apples.

How many more apples does the shop have now?
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
Correct Answer : Choice B
75 more apples
· The shop has 10 x apples and 7x oranges.
Finding x is only an intermediate step. We need to find “how may more apples”.
 the shop has 10x – 7x = 3x more apples.
· We have computed x to be 25 Hence, the shop has 3 * 25 = 75 more apples.

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This document discusses ratios, rates, and unit rates. It provides examples of ratios comparing two quantities like boys to girls in a class. Rates compare quantities with different units, like miles per hour. Unit rates express a rate with the second quantity being 1. The document gives examples of unit rates and discusses using unit rates to compare costs per item, like the cost of one lime. It includes practice problems for ratios, rates, and unit rates.

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