Lynn has $8.58 in quarters and pennies. if she has eight times ans many pennies as quarters, how many of each does she have?

Let q = number of quarters.
Let p = number of pennies.

A quarter is worth $0.25. q quarters are worth 0.25q.
A penny is worth $0.01. p pennies are worth 0.01p.
All coins together are worth 0.25q + 0.01p.

We are told that all coins together are worth $8.58, so 0.25q + 0.01p must equal 8.58.

0.25q + 0.01p = 8.58

That is our first equation.

She has 8 times as many pennies as quarters, so

p = 8q

That is our second equation.

We have a system of equations.

0.25q + 0,.01p = 8.58
p = 8q

Since the second equation is already solved for p, we can use the substitution method.

We will substitute 8q for p in the first equation.

0.25q + 0.01p = 8.58

0.25q + 0.01(8q) = 8.58

0.25q + 0.08q = 8.58

0.33q = 8.58

q = 26

p = 8q = 8 * 26 = 208

She has 26 quarters and 208 pennies.

Check:
26 quarters are worth 26 * $0.25 = $6.50
208 pennies are worth $2.08
$6.58 + $2.08 = $8.58
The value of the coi8ns is correct.

Also, 208/26 = 8. The number of pennies is really 8 times the number of quarters.

Our solution is correct.

The skating rink rented 872 pairs of skates during april and may.why? : if the skating rink rented three times the pair of skates in april during may, they rented 654 skates. 218 x 3 = 654then, if they want to know how many they rented during both april and may, then you just add 654 (may) and 218 (april) to give you 872 pairs of skates for both months.654 + 218 = 872hope this !