by Juliet Robinsons
(New Zealand)
Danny and Melissa decided to rent a campervan from motorhomerepublic.com for their 20-day vacation. They are already up from packing up their stuffs when they remember to bring some condiments. They are having problem on how many kilograms they will have to buy from the supermarket. While on the the grocery store, Melissa saw a mind twisting math problem that is exactly the same on what they need to buy.
The math problem goes like this:
If Four(4) kilograms of Tea is worth Eight(8) kilograms of sugar, Five(5) kilograms of Sugar is worth Twelve(12) kilogram of Flour, Seven(7) kilogram of flour is worth One(1) kilogram of coffee, how many kilograms of tea is worth Twenty-four(24) kilograms of coffee?
Choices
A. 35
B. 24
C. 70
D. None
Answer: ?
if 1 kg of coffee has 7 kg of flour, then 24 kg of coffee has 24 × 7 kg of flour or 168 kg of flour.
24 kg of coffee is equivalent to 168 kg of flour
5 kg of sugar is equivalent to 12 kg of flour
x kg of sugar is equivalent to 168 kg of flour
We can also write the following
5 kg ____________ 12 kg
x kg ____________ 168 kg
Cross multiplication is appropriate here
x × 12 = 5 × 168
12x = 840
x = 840/12
x = 70 kg
70 kg of sugar is equivalent to 168 kg of flour
4 kg of tea is equivalent to 8 kg of sugar
x kg of tea is equivalent to 70 kg of sugar
4 kg _________________ 8 kg
x kg _________________ 70 kg
Cross multiplication is appropriate again
X × 8 = 4 × 70
8X = 280
X = 280 / 8
x = 35 kg
35 kg of tea is equivalent to 70 kg of sugar
70 kg of sugar is equivalent to 168 kg of flour
168 kg of flour is equivalent to 24 kg of coffee
Therefore, 35 kg of tea is equivalent to 24 kg of coffee
Nov 20, 17 11:18 AM
What is a linear parent function? Crystal clear explanation.
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Nov 20, 17 11:18 AM
What is a linear parent function? Crystal clear explanation.
Our Top Pages
Formula for percentage
Compatible numbers
Basic math test
Basic math formulas
Types of angles
Math problem solver
Algebra word problems
Surface area of a cube
Finding the average
Scale drawings
Everything you need to prepare for an important exam!
K-12 tests, GED math test, basic math tests, geometry tests, algebra tests.
Real Life Math Skills
Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.