Tony bought 3 packs of pencils for $4 each and a pencil box for $7. Mario bought 4 binders for $6 each and used a coupon for $6 off. Write and evaluate expressions to find who spent more money.
Mathematics · Middle School · Sun Jan 24 2021
Answered on
Given the statement:
Tony bought 3 packs of pencils for $4 each and a pencil box for $7. Mario bought 4 binders for $6 each and used a coupon for $6 off.
Write and evaluate expressions to find who spent more money.
Solution:
The given numerical statement can be written for each as,
Tony:
(3x)(4) = 7
Mario:
((4x)(6)) - 6
In order to determine which person spent the most money, we simply solve for x.
Tony:
(3x)(4) = 7
12x =7
Divide both sides by 12 in order to cancel out 12x.
12x/12 = 7/12
x = 7/12
Each pencil cost $7/12 or $0.58
Mario:
substitute the value of x to the equation of Mario to determine how much he spent.
= (4(0.58)(6)) - 6
= 7.92
Final answer:
Mario spent more money than Tony.