Question 392216
Let x = the amount of pocket money that Devi receives each week.
She saves {{{(2/5)x}}} which means that she has {{{(3/5)x}}} remaining.
Of this amount she spends {{{3/4}}} on ice cream and $0.70 on sweets to leave a remainder of $0.50, so we have:
{{{(3/5)x-((3/5)x)(3/4)-0.70 = 0.50}}} Simplify and solve for x.
{{{(3/5)x-(9/20)x-0.70 = 0.50}}} Add 0.70 to both sides.
{{{(3/5)x-(9/20)x = 1.20}}} Simplify the left side.
{{{(12/20)x-(9/20)x = 1.20}}}
{{{(3/20)x = 1.20}}}
{{{x = (1.20)(20/3)}}}
{{{x = 8.00}}}
Devi receives $8.00 each week.