Respuesta :
- Answer:
a = 85 10cent coins
b = 117 20cent coins
- Step-by-step explanation:
a = 10c coins
b = 20c coins
$31.90 = c3190
a + b = 202 => a = 202 - b
10a + 20b = 3190
10(202 - b) + 20b = 3190
2020 - 10b + 20b = 3190
10b = 3190 - 2020
10b = 1170
b = 117 (20cent coins)
a = 202 - 117
= 85 (10cent coins)
Let the number of 10 cent coins be x
Number of 20 cent coins = y
$31.90 = 3190 cents
x + y = 202
x = 202 - y
10(202-y) + 20y = 3190
2020 - 10y + 20y = 3190
2020 + 10y = 3190
10y = 3190 - 2020
10y = 1170
y = 117
Number of 20 cent coins = 117
Now to find the value of x
x + y = 202
x + 117 = 202
x = 202-117
x = 85
Number of 10 cent coins = 85
VERIFY:
10(85) + 20(117) = 3190
850 + 2340 = 3190
3190 = 3190
LHS = RHS
Hence, verified
Hope it helps
Please mark my answer as BRAINLIEST
Number of 20 cent coins = y
$31.90 = 3190 cents
x + y = 202
x = 202 - y
10(202-y) + 20y = 3190
2020 - 10y + 20y = 3190
2020 + 10y = 3190
10y = 3190 - 2020
10y = 1170
y = 117
Number of 20 cent coins = 117
Now to find the value of x
x + y = 202
x + 117 = 202
x = 202-117
x = 85
Number of 10 cent coins = 85
VERIFY:
10(85) + 20(117) = 3190
850 + 2340 = 3190
3190 = 3190
LHS = RHS
Hence, verified
Hope it helps
Please mark my answer as BRAINLIEST
