SOLUTION: A grocery stores sells tomatoes in boxes of 4 or 10. If a shopper buys x boxes of 4 and y
boxes of 10, where x ≥ 1 and y ≥ 1, for a total of 60 tomatoes, what is one
Algebra.Com
Question 1121102: A grocery stores sells tomatoes in boxes of 4 or 10. If a shopper buys x boxes of 4 and y
boxes of 10, where x ≥ 1 and y ≥ 1, for a total of 60 tomatoes, what is one possible value of x?
Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Clearly 
otherwise 
So 
is bounded above and below by 
and restricted to the integers (no fractional boxes of 10 tomatoes).
In other words: 
Test these values in 
to eliminate values of that do not result in integer values of 
John
My calculator said it, I believe it, that settles it
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
Informally....
The total number of tomatoes is a multiple of 10; and y boxes of 10 each will be a number of tomatoes that is a multiple of 10. Therefore, the total number of tomatoes in the boxes of 4 each must be a multiple of 10.
Multiples of 4 that are multiples of 10, and less than or equal to 60, are 0, 20, 40, and 60.
So the possible numbers of boxes of 4 is 0, 5, 10, or 15.
15 boxes of 4 each would mean 0 boxes of 10 each. Since the problem specifies having at least one box of each size, the possible numbers of boxes of 4 each are 5 and 10.
Answer: the 2 possible values for x are 5 and 10.
The same process, using the formal mathematical method....
Solve for y:
y must be a positive integer; and 6 is an integer. That means(2/5)x must be an integer; and that means x must be a multiple of 5.
The conditions of the problem say x must be a positive integer, and that the value of x must be less than 15. Since we have determined that it also must be a multiple of 5, the only 2 possible values of x are 5 and 10.
RELATED QUESTIONS
Don runs a charity fruit sale, selling boxes of oranges for $11 and boxes of grapefruit... (answered by doukungfoo)
If a box of Tipas Hopia costs Php50.00,How much 2 boxes?3 boxes?4 boxes?and 5 boxes?
(answered by ikleyn)
Don runs a charity fruit sale selling boxers of oranges for $11 and boxes of grapefruit... (answered by josgarithmetic,MathTherapy)
A warehouse has x cases containing 12 boxes of product and x+10 cases containing 20... (answered by josgarithmetic)
eggs are sold in boxes.
a small box holds 6 eggs
a large box holds 12 eggs
hina... (answered by josmiceli,lynnlo)
eggs are sold in boxes.
A small box holds 6 eggs.
A large box holds 12 eggs.
Uzma buys (answered by MathTherapy)
A store sells juice boxes in packages of 6 boxes and 8 boxes. They have 288 juice boxes.... (answered by Boreal)
A store sells juice boxes in packages of 6 boxes and 8 boxes. They have 288 juice boxes.... (answered by addingup,MathTherapy)
Don runs a charity fruit sale, selling boxes of oranges for $11 and boxes of grapfruit... (answered by Nate)