Q:

Ahmed spent 1/3 of his money on a burrito and a water bottle. The burrito cost 2 times as much as the water. The burrito cost $4. How much money does Ahmed have left?

Accepted Solution

A:
Answer:Ahmed's left with $12Step-by-step explanation:step 1Find out the cost of a water bottleLetx -----> the cost of a water bottley ----> the cost of the burrito[tex]y=2x[/tex] -----> equation A[tex]y=4[/tex] -----> equation Bsubstitute equation B in equation A and solve for x[tex]4=2x[/tex][tex]x=2[/tex]thereforeThe cost of a water bottle is $2step 2Find out how much money does Ahmed have leftLetx -----> the amount of money Ahmed originally hadwe know thatThe cost of a burrito and a water bottle is equal to one third of the amount of money Ahmed originally hadso[tex]4+2=\frac{1}{3}x[/tex]Solve for x[tex]6=\frac{1}{3}x[/tex]Multiply by 3 both sides[tex]x=18[/tex]thereforeThe amount of money Ahmed originally had was $18If he spent 1/3 of his moneythen He's had 2/3 of the money left.Multiply 2/3 by the amount of money Ahmed originally had[tex]\frac{2}{3}(18)=\$12[/tex]thereforeAhmed's left with $12.