Thursday

March 26, 2015

March 26, 2015

Posted by **anna** on Tuesday, May 7, 2013 at 6:09pm.

A small cup of coffee costs $2.

A large cup of coffee costs $3.

On Tuesday, the store sold a total of 155 cups of coffee for a total of $335.

How many small cups of coffee did the store sell on Tuesday?

- algebra -
**MathMate**, Tuesday, May 7, 2013 at 8:18pmConventional algebra:

x=number of small cups

y=number of large cups

form the system of equations

x+y=155

2x+3y=335

Solve the system for x and y.

Quick way by substituting directly:

Let 155-x=number of large cups

2x+3(155-x)=335

Solve the linear equation for x.

Faster way by mental calculations:

Assume all sold are small,

then proceeds

=2x155=310

Money left-over = $335-310 = 25

Exchange 25 small cups for 25 large cups for $25, so

small cups = 155-25=130

large cups = 25.

**Answer this Question**

**Related Questions**

Algebra - A shop sells coffee and donuts. The coffee sells for $4.31 and donuts ...

Maths - A coffee urn holds 12 litres when full. Harry fills coffee cups from the...

maths - A coffee urn holds 12 litres when full. Harry fills coffee cups from the...

Chemistry - At a local convenience store, you purchase a cup of coffee, but, at ...

Algebra - Hot Java Coffee Company adverties their decaffeinated coffee as 97% ...

Math - At Uriah's coffee shop, the amount of ground coffee beans left in stock ...

MATH MIDDLE SCHOOL - I love chocolate and coffee. I begin by making one cup of ...

mathematics - a drinks machine dispenses coffee into cups. A sign on the machine...

Math Middle School - Please help me solve this challenge problem: I love hot ...

Math - The Brock family uses a 12-cup coffee maker, which leaks. For every 6 cup...