Question

WILL GIVE MEDAL. SHOW ALL STEPS AND EXPLAIN EACH STEP PLEASE.

Answer 1

Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have?

Answer 2

let x be the no of dimes and y be the no of quarters
x+y =46 => x = 46-y -(1)
0.1x+0.25y = 7 -(2)
put (1) into (2)
0.1( 46-y)+0.25y = 7
4.6 -0.1y +0.25 = 7
0.15y = 2.4
y=16 therefore x=46-16 =30
therefore there are 30 dimes and 16 quarters