Your mother gave you $13.32 with which to buy a present. This covered 3/5 of the cost. How do you write and solve as an equation to find how much the present cost?

Question

Julia Adams · Accepted Answer

The present cost #$22.20# Represent the cost of the present by the variable #color(blue)(c)# We are told #color(white)("XXX")color(red)(3/5 xx color(blue)(c) =$13.32)# (this is the requested equation) Multiplying both sides by #5/3# (to get rid of the fraction on the right side) #color(white)("XXX")cancel(5)/cancel(3) xx cancel(3)/cancel(5) xx color(blue)(c)=(cancel($13.32)^($4.44) xx 5)/cancel(3)# #color(white)("XXX")rarr color(blue)(c)= $22.20#

Nathan Axel · Answer

The cost of the present is #$22.20#.

The query can be rephrased as follows: #3/5#th of the cost is #13.32#. "Of" denotes multiplication and "is" denotes equality when "translating" words into an equation. Let #x=# the cost. #3/5 x = 13.32# Multiply both sides by #5/3# #5/3 * 3/5 x = 5/3 * 13.32# #cancel5/cancel3 * cancel3/cancel5 x = (5*13.32)/3# #x=22.2#, so the cost of the present is #$22.20#.

Eva Abramson · Answer

undefined Let $ x $ be the total cost of the present. The equation is $ \frac{3}{5}x = 13.32 $. Solving for $ x $: $ x = \frac{13.32}{3/5} $.